57975 has 12 divisors (see below), whose sum is σ = 95976. Its totient is φ = 30880.

The previous prime is 57973. The next prime is 57977.

57975 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (57973) and next prime (57977).

It is not a de Polignac number, because 57975 - 2¹ = 57973 is a prime.

It is a super-2 number, since 2×57975² = 6722201250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (7998).

2⁵⁷⁹⁷⁵ is an apocalyptic number.

57975 is a deficient number, since it is larger than the sum of its proper divisors (38001).

57975 is a wasteful number, since it uses less digits than its factorization.

57975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 781 counting only the distinct ones).

The product of its digits is 11025, while the sum is 33.

The square root of 57975 is about 240.7799825567. The cubic root of 57975 is about 38.7032040026.

The spelling of 57975 in words is "fifty-seven thousand, nine hundred seventy-five".