57188 has 18 divisors (see below), whose sum is σ = 109746. Its totient is φ = 25984.

The previous prime is 57179. The next prime is 57191. The reversal of 57188 is 88175.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 40804 = 128^2 + 202^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 57188.

It is an unprimeable number.

57188 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 in 5 ways as a sum of consecutive naturals, for example, 1958 + ... + 1986.

It is an arithmetic number, because the mean of its divisors is an integer number (6097).

2⁵⁷¹⁸⁸ is an apocalyptic number.

57188 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

57188 is a deficient number, since it is larger than the sum of its proper divisors (52558).

57188 is a wasteful number, since it uses less digits than its factorization.

57188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its digits is 2240, while the sum is 29.

The square root of 57188 is about 239.1401262858. The cubic root of 57188 is about 38.5272758870.

The spelling of 57188 in words is "fifty-seven thousand, one hundred eighty-eight".