diff --git a/tests/queries/0_stateless/03270_window_memory_check.reference b/tests/queries/0_stateless/03270_window_memory_check.reference
new file mode 100644
index 00000000000..e69de29bb2d
diff --git a/tests/queries/0_stateless/03270_window_memory_check.sql b/tests/queries/0_stateless/03270_window_memory_check.sql
new file mode 100644
index 00000000000..0b4ba452f9a
--- /dev/null
+++ b/tests/queries/0_stateless/03270_window_memory_check.sql
@@ -0,0 +1,40 @@
+-- A test for #65647 that reduces the memory usage of some window functions.
+-- without the optimization, about 174 MiB is used.
+SELECT
+    x,
+    row_number() OVER (PARTITION BY x ORDER BY y ASC)
+FROM
+(
+    SELECT
+        number % 1 AS x,
+        number AS y
+    FROM numbers(10000000)
+)
+FORMAT `null`
+SETTINGS max_threads = 1, max_memory_usage = 104857600;
+
+SELECT
+    x,
+    rank() OVER (PARTITION BY x ORDER BY y ASC)
+FROM
+(
+    SELECT
+        number % 1 AS x,
+        number AS y
+    FROM numbers(10000000)
+)
+FORMAT `null`
+SETTINGS max_threads = 1, max_memory_usage = 104857600;
+
+SELECT
+    x,
+    dense_rank() OVER (PARTITION BY x ORDER BY y ASC)
+FROM
+(
+    SELECT
+        number % 1 AS x,
+        number AS y
+    FROM numbers(10000000)
+)
+FORMAT `null`
+SETTINGS max_threads = 1, max_memory_usage = 104857600;