4567

This number is a prime.

The only prime number with four consecutive increasing digits. [De Geest]

The smallest non-trivial straight-line prime. [Pol]

The only 4-digit esthetic prime, i.e., a prime whose the difference between adjacent digits is 1. [Loungrides]

4567, 4^4 + 5^5 + 6^6 + 7^7 + 4567, 4^4 + 5^5 + 6^6 + 7^7 + 4567 + 4*5*6*7, and 4567 +/- 4*5*6*7 are all prime. [Bui Quang Tuan]

The sum of first n non-palindromic primes: (13 + 17 + 19 +...+ 229 + 233), where n = 41. [Jha]