3911

This number is a prime.

A baseball emirp: 3911 is an emirp, even if we append or prepend a 3 or 9. Three strikes and you're out, for 9 innings. [Post]

3911 is the largest prime that remains prime for the swapping of any pair of it digits. [Rivera]

The smallest prime p such that binary representation of p^2 and p^3 are also prime. [Bajpai]