57638 has 16 divisors (see below), whose sum is σ = 103680. Its totient is φ = 23496.

The previous prime is 57637. The next prime is 57641. The reversal of 57638 is 83675.

It is a self number, because there is not a number n which added to its sum of digits gives 57638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57637) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 233 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁵⁷⁶³⁸ is an apocalyptic number.

57638 is a deficient number, since it is larger than the sum of its proper divisors (46042).

57638 is a wasteful number, since it uses less digits than its factorization.

57638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211.

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

The square root of 57638 is about 240.0791536140. The cubic root of 57638 is about 38.6280662480.

The spelling of 57638 in words is "fifty-seven thousand, six hundred thirty-eight".