Is it grammatically correct to say, "Aren't I the right person?"?

The use of “aren’t” does not seem right, given that the declarative version is “I am the right person,” but what could be used in its place? You can of course say, “Am I not the right person?”, but that sounds awkward. Switching to past or future tense is no problem – “Wasn’t I the right person” and “Won’t I be the right person?”