13789

This number is a prime.

The least distinct-digit emirp such that the sum of its digits is a perfect number. [Loungrides]

The largest prime number with distinct digits in Spanish alphabetical descending order (Uno, Tres, Siete, Ocho, Nueve). [Rivera]

13789 is the first of 39 five-digit primes, whose permutations of their digits produces 39 primes. 23957 is the first of 33 five-digit primes, whose permutations of their digits produces 33 primes. These are the only two five-digit prime groups with this property. [Goins]