57915 has 40 divisors (see below), whose sum is σ = 121968. Its totient is φ = 25920.

The previous prime is 57901. The next prime is 57917. The reversal of 57915 is 51975.

It is not a de Polignac number, because 57915 - 2⁴ = 57899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (57917) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4449 + ... + 4461.

2⁵⁷⁹¹⁵ is an apocalyptic number.

57915 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57915 is an abundant number, since it is smaller than the sum of its proper divisors (64053).

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 (60984).

57915 is a wasteful number, since it uses less digits than its factorization.

57915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 32 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 57915 is about 240.6553552282. The cubic root of 57915 is about 38.6898477065.

57915 divided by its sum of digits (27) gives a triangular number (2145 = T₆₅).

The spelling of 57915 in words is "fifty-seven thousand, nine hundred fifteen".