57375 has 32 divisors (see below), whose sum is σ = 112320. Its totient is φ = 28800.

The previous prime is 57373. The next prime is 57383.

57375 is nontrivially palindromic in base 10.

57375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57375 - 2¹ = 57373 is a prime.

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

Its product of digits (3675) is a multiple of the sum of its prime divisors (25).

It is a nialpdrome in base 9.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3367 + ... + 3383.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2⁵⁷³⁷⁵ is an apocalyptic number.

57375 is a deficient number, since it is larger than the sum of its proper divisors (54945).

57375 is a wasteful number, since it uses less digits than its factorization.

57375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 25 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 57375 is about 239.5307913401. The cubic root of 57375 is about 38.5692238599.

The spelling of 57375 in words is "fifty-seven thousand, three hundred seventy-five".