58638 has 16 divisors (see below), whose sum is σ = 121680. Its totient is φ = 18816.

The previous prime is 58631. The next prime is 58657. The reversal of 58638 is 83685.

58638 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (7605).

2⁵⁸⁶³⁸ is an apocalyptic number.

58638 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

58638 is an abundant number, since it is smaller than the sum of its proper divisors (63042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60840).

58638 is a wasteful number, since it uses less digits than its factorization.

58638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371.

The product of its digits is 5760, while the sum is 30.

The square root of 58638 is about 242.1528442947. The cubic root of 58638 is about 38.8501812891.

It can be divided in two parts, 58 and 638, that added together give a palindrome (696).

The spelling of 58638 in words is "fifty-eight thousand, six hundred thirty-eight".