Benedict Cumberbatch and his fiancee Sophie Hunter looked glamorous as they made their red carpet debut as a couple at the New York premiere of "The Imitation Game" on Monday night.

The pair, who announced their engagement in The Times newspaper earlier this month, wrapped their arms around each other as they posed for photos; Hunter looked radiant in a floral maxi dress and Cumberbatch wore a smart three-piece suit.

Cumberbatch, 38, opened up about his happy news on "Live with Kelly and Michael" on Monday, joking that although he adores his fans, they need to realize that their " ovaries do still have use," despite his engagement.

"I'm very happy. I'm a very happy man," he said. "I have a great population of fans as well -- they're smart, they'll get around to the idea. ... Your ovaries do still have use, let me tell you!"