57057 has 32 divisors (see below), whose sum is σ = 107520. Its totient is φ = 25920.

The previous prime is 57047. The next prime is 57059. The reversal of 57057 is 75075.

It is not a de Polignac number, because 57057 - 2⁴ = 57041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57059) 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, 2994 + ... + 3012.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁵⁷⁰⁵⁷ is an apocalyptic number.

57057 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

57057 is a deficient number, since it is larger than the sum of its proper divisors (50463).

57057 is a wasteful number, since it uses less digits than its factorization.

57057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53.

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 57057 is about 238.8660712617. The cubic root of 57057 is about 38.4978353761.

The spelling of 57057 in words is "fifty-seven thousand, fifty-seven".