I am a 7 letter city, My 234 letter is a bird, 61 is cool, 1274 is a part of the face, 4713 is a way of saying good, & 4 is equal to 5. If u r genius

I am a 7 letter city,
My 234 letter is a bird,
61 is cool,
1274 is a part of the face,
4713 is a way of saying good,
& 4 is equal to 5.
If u r genius then guess the name of the city.