9601

This number is a prime.

The largest 4-digit prime (emirp) abcd with distinct digits such that a^a+b^b+c^c+d^d is prime (emirp). [Loungrides]

The larger prime of the largest pair of consecutive 4-digit primes sharing a maximum of 7 distinct digits, i.e., 9587 & 9601. [Worrom]