diff --git a/Lib/test/string_tests.py b/Lib/test/string_tests.py
index 5931f3d..9cf3345 100644
--- a/Lib/test/string_tests.py
+++ b/Lib/test/string_tests.py
@@ -96,6 +96,23 @@
         self.checkequal('Aaaa', 'aaaa', 'capitalize')
         self.checkequal('Aaaa', 'AaAa', 'capitalize')
 
+        # check that titlecased chars are lowered correctly
+        # \u1ffc is the titlecased char
+        self.checkequal(u'\u1ffc\u1ff3\u1ff3\u1ff3',
+                        u'\u1ff3\u1ff3\u1ffc\u1ffc', 'capitalize')
+        # check with cased non-letter chars
+        self.checkequal(u'\u24c5\u24e8\u24e3\u24d7\u24de\u24dd',
+                        u'\u24c5\u24ce\u24c9\u24bd\u24c4\u24c3', 'capitalize')
+        self.checkequal(u'\u24c5\u24e8\u24e3\u24d7\u24de\u24dd',
+                        u'\u24df\u24e8\u24e3\u24d7\u24de\u24dd', 'capitalize')
+        self.checkequal(u'\u2160\u2171\u2172',
+                        u'\u2160\u2161\u2162', 'capitalize')
+        self.checkequal(u'\u2160\u2171\u2172',
+                        u'\u2170\u2171\u2172', 'capitalize')
+        # check with Ll chars with no upper - nothing changes here
+        self.checkequal(u'\u019b\u1d00\u1d86\u0221\u1fb7',
+                        u'\u019b\u1d00\u1d86\u0221\u1fb7', 'capitalize')
+
         self.checkraises(TypeError, 'hello', 'capitalize', 42)
 
     def test_count(self):