57357 has 6 divisors (see below), whose sum is σ = 82862. Its totient is φ = 38232.

The previous prime is 57349. The next prime is 57367. The reversal of 57357 is 75375.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 2601 = 234^2 + 51^2 .

It is not a de Polignac number, because 57357 - 2³ = 57349 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 57357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57347) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3178 + ... + 3195.

2⁵⁷³⁵⁷ is an apocalyptic number.

It is an amenable number.

57357 is a deficient number, since it is larger than the sum of its proper divisors (25505).

57357 is a wasteful number, since it uses less digits than its factorization.

57357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6376 counting only the distinct ones).

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

The square root of 57357 is about 239.4932149352. The cubic root of 57357 is about 38.5651900551.

It can be divided in two parts, 573 and 57, that added together give a triangular number (630 = T₃₅).

The spelling of 57357 in words is "fifty-seven thousand, three hundred fifty-seven".