57315 has 8 divisors (see below), whose sum is σ = 91728. Its totient is φ = 30560.

The previous prime is 57301. The next prime is 57329. The reversal of 57315 is 51375.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57301) and next prime (57329).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 57315 - 2⁵ = 57283 is a prime.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 57291 and 57300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1896 + ... + 1925.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2⁵⁷³¹⁵ is an apocalyptic number.

57315 is a deficient number, since it is larger than the sum of its proper divisors (34413).

57315 is a wasteful number, since it uses less digits than its factorization.

57315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829.

The product of its digits is 525, while the sum is 21.

The square root of 57315 is about 239.4055137210. The cubic root of 57315 is about 38.5557745610. Note that the first 3 decimals are identical.

It can be divided in two parts, 57 and 315, that multiplied together give a triangular number (17955 = T₁₈₉).

The spelling of 57315 in words is "fifty-seven thousand, three hundred fifteen".