9883

This number is a prime.

The largest 4-digit emirp whose sum of digits is a perfect number. [Loungrides]

9883 is the largest 4-digit prime number p that divides Fibonacci[(p+1)/7], i.e., F(1412). [Pace]

9883 is the largest 4-digit prime number congruent to 4 mod 37. [Pace]