diff --git a/jsonschema/_keywords.py b/jsonschema/_keywords.py
index f33a1aa3..69d7580b 100644
--- a/jsonschema/_keywords.py
+++ b/jsonschema/_keywords.py
@@ -228,12 +228,14 @@ def format(validator, format, instance, schema):
 
 def minLength(validator, mL, instance, schema):
     if validator.is_type(instance, "string") and len(instance) < mL:
-        yield ValidationError(f"{instance!r} is too short")
+        message = "should be non-empty" if mL == 1 else "is too short"
+        yield ValidationError(f"{instance!r} {message}")
 
 
 def maxLength(validator, mL, instance, schema):
     if validator.is_type(instance, "string") and len(instance) > mL:
-        yield ValidationError(f"{instance!r} is too long")
+        message = "is expected to be empty" if mL == 0 else "is too long"
+        yield ValidationError(f"{instance!r} {message}")
 
 
 def dependentRequired(validator, dependentRequired, instance, schema):
@@ -307,14 +309,22 @@ def required(validator, required, instance, schema):
 
 def minProperties(validator, mP, instance, schema):
     if validator.is_type(instance, "object") and len(instance) < mP:
-        yield ValidationError(f"{instance!r} does not have enough properties")
+        message = (
+            "should be non-empty" if mP == 1
+            else "does not have enough properties"
+        )
+        yield ValidationError(f"{instance!r} {message}")
 
 
 def maxProperties(validator, mP, instance, schema):
     if not validator.is_type(instance, "object"):
         return
     if validator.is_type(instance, "object") and len(instance) > mP:
-        yield ValidationError(f"{instance!r} has too many properties")
+        message = (
+            "is expected to be empty" if mP == 0
+            else "has too many properties"
+        )
+        yield ValidationError(f"{instance!r} {message}")
 
 
 def allOf(validator, allOf, instance, schema):
diff --git a/jsonschema/tests/test_validators.py b/jsonschema/tests/test_validators.py
index 52778bdf..28cc4027 100644
--- a/jsonschema/tests/test_validators.py
+++ b/jsonschema/tests/test_validators.py
@@ -517,6 +517,53 @@ def test_maxItems_0(self):
         message = self.message_for(instance=[1, 2, 3], schema={"maxItems": 0})
         self.assertEqual(message, "[1, 2, 3] is expected to be empty")
 
+    def test_minLength(self):
+        message = self.message_for(
+            instance="",
+            schema={"minLength": 2},
+        )
+        self.assertEqual(message, "'' is too short")
+
+    def test_maxLength(self):
+        message = self.message_for(
+            instance="abc",
+            schema={"maxLength": 2},
+        )
+        self.assertEqual(message, "'abc' is too long")
+
+    def test_minLength_1(self):
+        message = self.message_for(instance="", schema={"minLength": 1})
+        self.assertEqual(message, "'' should be non-empty")
+
+    def test_maxLength_0(self):
+        message = self.message_for(instance="abc", schema={"maxLength": 0})
+        self.assertEqual(message, "'abc' is expected to be empty")
+
+    def test_minProperties(self):
+        message = self.message_for(instance={}, schema={"minProperties": 2})
+        self.assertEqual(message, "{} does not have enough properties")
+
+    def test_maxProperties(self):
+        message = self.message_for(
+            instance={"a": {}, "b": {}, "c": {}},
+            schema={"maxProperties": 2},
+        )
+        self.assertEqual(
+            message,
+            "{'a': {}, 'b': {}, 'c': {}} has too many properties",
+        )
+
+    def test_minProperties_1(self):
+        message = self.message_for(instance={}, schema={"minProperties": 1})
+        self.assertEqual(message, "{} should be non-empty")
+
+    def test_maxProperties_0(self):
+        message = self.message_for(
+            instance={1: 2},
+            schema={"maxProperties": 0},
+        )
+        self.assertEqual(message, "{1: 2} is expected to be empty")
+
     def test_prefixItems_with_items(self):
         message = self.message_for(
             instance=[1, 2, "foo"],
@@ -537,20 +584,6 @@ def test_prefixItems_with_multiple_extra_items(self):
             "Expected at most 2 items but found 2 extra: ['foo', 5]",
         )
 
-    def test_minLength(self):
-        message = self.message_for(
-            instance="",
-            schema={"minLength": 2},
-        )
-        self.assertEqual(message, "'' is too short")
-
-    def test_maxLength(self):
-        message = self.message_for(
-            instance="abc",
-            schema={"maxLength": 2},
-        )
-        self.assertEqual(message, "'abc' is too long")
-
     def test_pattern(self):
         message = self.message_for(
             instance="bbb",
@@ -646,20 +679,6 @@ def test_dependentRequired(self):
         )
         self.assertEqual(message, "'bar' is a dependency of 'foo'")
 
-    def test_minProperties(self):
-        message = self.message_for(instance={}, schema={"minProperties": 2})
-        self.assertEqual(message, "{} does not have enough properties")
-
-    def test_maxProperties(self):
-        message = self.message_for(
-            instance={"a": {}, "b": {}, "c": {}},
-            schema={"maxProperties": 2},
-        )
-        self.assertEqual(
-            message,
-            "{'a': {}, 'b': {}, 'c': {}} has too many properties",
-        )
-
     def test_oneOf_matches_none(self):
         message = self.message_for(instance={}, schema={"oneOf": [False]})
         self.assertEqual(