57032 has 8 divisors (see below), whose sum is σ = 106950. Its totient is φ = 28512.

The previous prime is 56999. The next prime is 57037. The reversal of 57032 is 23075.

It can be written as a sum of positive squares in only one way, i.e., 45796 + 11236 = 214^2 + 106^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 57032.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57032.

It is not an unprimeable number, because it can be changed into a prime (57037) by changing a digit.

57032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3557 + ... + 3572.

2⁵⁷⁰³² is an apocalyptic number.

It is an amenable number.

57032 is a deficient number, since it is larger than the sum of its proper divisors (49918).

57032 is a wasteful number, since it uses less digits than its factorization.

57032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 57032 is about 238.8137349484. The cubic root of 57032 is about 38.4922118389.

The spelling of 57032 in words is "fifty-seven thousand, thirty-two".