diff --git a/changelog.d/9529.misc b/changelog.d/9529.misc
new file mode 100644
index 000000000000..b9021a26b406
--- /dev/null
+++ b/changelog.d/9529.misc
@@ -0,0 +1 @@
+Bump the versions of mypy and mypy-zope used for static type checking.
diff --git a/setup.py b/setup.py
index 08ba4eb764b7..bbd9e7862a01 100755
--- a/setup.py
+++ b/setup.py
@@ -102,7 +102,7 @@ def exec_file(path_segments):
     "flake8",
 ]
 
-CONDITIONAL_REQUIREMENTS["mypy"] = ["mypy==0.790", "mypy-zope==0.2.8"]
+CONDITIONAL_REQUIREMENTS["mypy"] = ["mypy==0.812", "mypy-zope==0.2.11"]
 
 # Dependencies which are exclusively required by unit test code. This is
 # NOT a list of all modules that are necessary to run the unit tests.
diff --git a/synapse/replication/tcp/streams/_base.py b/synapse/replication/tcp/streams/_base.py
index 38809b5b7c7c..f45e7a8c8914 100644
--- a/synapse/replication/tcp/streams/_base.py
+++ b/synapse/replication/tcp/streams/_base.py
@@ -502,7 +502,7 @@ class AccountDataStream(Stream):
     """Global or per room account data was changed"""
 
     AccountDataStreamRow = namedtuple(
-        "AccountDataStream",
+        "AccountDataStreamRow",
         ("user_id", "room_id", "data_type"),  # str  # Optional[str]  # str
     )
 
diff --git a/synapse/storage/roommember.py b/synapse/storage/roommember.py
index f152f63321f4..d2ff4da6b9fe 100644
--- a/synapse/storage/roommember.py
+++ b/synapse/storage/roommember.py
@@ -25,7 +25,7 @@
 )
 
 GetRoomsForUserWithStreamOrdering = namedtuple(
-    "_GetRoomsForUserWithStreamOrdering", ("room_id", "event_pos")
+    "GetRoomsForUserWithStreamOrdering", ("room_id", "event_pos")
 )