57957 has 4 divisors (see below), whose sum is σ = 77280. Its totient is φ = 38636.

The previous prime is 57947. The next prime is 57973. The reversal of 57957 is 75975.

57957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 57957 - 2⁷ = 57829 is a prime.

It is a D-number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57917) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9657 + ... + 9662.

It is an arithmetic number, because the mean of its divisors is an integer number (19320).

2⁵⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

57957 is a deficient number, since it is larger than the sum of its proper divisors (19323).

57957 is a wasteful number, since it uses less digits than its factorization.

57957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19322.

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

The square root of 57957 is about 240.7426011324. The cubic root of 57957 is about 38.6991980818.

It can be divided in two parts, 579 and 57, that added together give a palindrome (636).

The spelling of 57957 in words is "fifty-seven thousand, nine hundred fifty-seven".