57368 has 16 divisors (see below), whose sum is σ = 110160. Its totient is φ = 28000.

The previous prime is 57367. The next prime is 57373. The reversal of 57368 is 86375.

It is an Ulam number.

It is a nialpdrome in base 9.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 57368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 518 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

2⁵⁷³⁶⁸ is an apocalyptic number.

It is an amenable number.

57368 is a deficient number, since it is larger than the sum of its proper divisors (52792).

57368 is a wasteful number, since it uses less digits than its factorization.

57368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 57368 is about 239.5161789942. The cubic root of 57368 is about 38.5676552583.

The spelling of 57368 in words is "fifty-seven thousand, three hundred sixty-eight".