57956 has 6 divisors (see below), whose sum is σ = 101430. Its totient is φ = 28976.

The previous prime is 57947. The next prime is 57973. The reversal of 57956 is 65975.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 17956 = 200^2 + 134^2 .

It is a plaindrome in base 15.

It is an unprimeable number.

57956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7241 + ... + 7248.

It is an arithmetic number, because the mean of its divisors is an integer number (16905).

2⁵⁷⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

57956 is a deficient number, since it is larger than the sum of its proper divisors (43474).

57956 is a wasteful number, since it uses less digits than its factorization.

57956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14493 (or 14491 counting only the distinct ones).

The product of its digits is 9450, while the sum is 32.

The square root of 57956 is about 240.7405242164. The cubic root of 57956 is about 38.6989755063.

The spelling of 57956 in words is "fifty-seven thousand, nine hundred fifty-six".