diff --git a/openapi_core/schema/schemas/models.py b/openapi_core/schema/schemas/models.py
index 7353dd0..213182d 100644
--- a/openapi_core/schema/schemas/models.py
+++ b/openapi_core/schema/schemas/models.py
@@ -54,7 +54,7 @@ class Schema(object):
         SchemaType.ANY: lambda x: True,
         SchemaType.BOOLEAN: TypeValidator(bool),
         SchemaType.INTEGER: TypeValidator(integer_types, exclude=bool),
-        SchemaType.NUMBER: TypeValidator(integer_types, float, exclude=bool),
+        SchemaType.NUMBER: TypeValidator(integer_types + (float, ), exclude=bool),
         SchemaType.STRING: TypeValidator(
             text_type, date, datetime, binary_type, UUID),
         SchemaType.ARRAY: TypeValidator(list, tuple),
@@ -228,16 +228,16 @@ class Schema(object):
                 "Failed to format value {value} to format {type}: {exception}", value, self.format, exc)
 
     def _unmarshal_integer(self, value, custom_formatters=None, strict=True):
-        if strict and not isinstance(value, (integer_types, )):
+        if strict and not isinstance(value, integer_types):
             raise InvalidSchemaValue("Value {value} is not of type {type}", value, self.type)
 
         return int(value)
 
     def _unmarshal_number(self, value, custom_formatters=None, strict=True):
-        if strict and not isinstance(value, (float, )):
+        if strict and not isinstance(value, (float, ) + integer_types):
             raise InvalidSchemaValue("Value {value} is not of type {type}", value, self.type)
 
-        return float(value)
+        return value
 
     def _unmarshal_boolean(self, value, custom_formatters=None, strict=True):
         if strict and not isinstance(value, (bool, )):
diff --git a/tests/unit/schema/test_schemas.py b/tests/unit/schema/test_schemas.py
index b66dad7..8666fde 100644
--- a/tests/unit/schema/test_schemas.py
+++ b/tests/unit/schema/test_schemas.py
@@ -262,12 +262,12 @@ class TestSchemaUnmarshal(object):
         with pytest.raises(InvalidSchemaValue):
             schema.unmarshal(value)
 
-    def test_number_int_invalid(self):
+    def test_number_int(self):
         schema = Schema('number')
         value = 1
+        result = schema.unmarshal(value)
 
-        with pytest.raises(InvalidSchemaValue):
-            schema.unmarshal(value)
+        assert result == value
 
 
 class TestSchemaValidate(object):