57156 has 24 divisors (see below), whose sum is σ = 145824. Its totient is φ = 17280.

The previous prime is 57149. The next prime is 57163. The reversal of 57156 is 65175.

It is an interprime number because it is at equal distance from previous prime (57149) and next prime (57163).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57156.

It is an unprimeable number.

57156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (6076).

2⁵⁷¹⁵⁶ is an apocalyptic number.

It is an amenable number.

57156 is an abundant number, since it is smaller than the sum of its proper divisors (88668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912).

57156 is a wasteful number, since it uses less digits than its factorization.

57156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its digits is 1050, while the sum is 24.

The square root of 57156 is about 239.0732105444. The cubic root of 57156 is about 38.5200884651.

The spelling of 57156 in words is "fifty-seven thousand, one hundred fifty-six".