57349

57349 is a natural number that comes after 57348 and before 57350. In decimal notation, it is a five-digit integer.

In mathematics, 57349 is a prime number, meaning it has no positive divisors other than 1 and itself. Its digits are all distinct: 5, 7, 3, 4, and 9. The sum of its digits is 28, which implies that 57349 is congruent to 1 modulo 3 and also congruent to 1 modulo 9. The number ends with a 9, so it is congruent to 9 modulo 10.

As a prime, 57349 has the simplest possible divisor structure among positive integers greater than 1: its only divisors are 1 and 57349. This primality places it within the set of five-digit primes in base-10 representations.

Beyond its basic numerical properties, 57349 does not have widely noted mathematical identities or special significance in common references. It is primarily encountered as an example of a five-digit prime with a unique digit set.