57675 has 12 divisors (see below), whose sum is σ = 95480. Its totient is φ = 30720.

The previous prime is 57667. The next prime is 57679.

57675 is nontrivially palindromic in base 4 and base 10.

57675 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57675 - 2³ = 57667 is a prime.

It is a super-3 number, since 3×57675³ = 575551333265625, which contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (57679) 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, 310 + ... + 459.

2⁵⁷⁶⁷⁵ is an apocalyptic number.

57675 is a deficient number, since it is larger than the sum of its proper divisors (37805).

57675 is a wasteful number, since it uses less digits than its factorization.

57675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 777 counting only the distinct ones).

The product of its digits is 7350, while the sum is 30.

The square root of 57675 is about 240.1561991705. The cubic root of 57675 is about 38.6363300828.

Adding to 57675 its product of digits (7350), we get a square (65025 = 255²).

The spelling of 57675 in words is "fifty-seven thousand, six hundred seventy-five".