58038 has 16 divisors (see below), whose sum is σ = 123120. Its totient is φ = 18176.

The previous prime is 58031. The next prime is 58043. The reversal of 58038 is 83085.

It is a junction number, because it is equal to n+sod(n) for n = 57999 and 58017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58031) 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, 183 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

2⁵⁸⁰³⁸ is an apocalyptic number.

58038 is an abundant number, since it is smaller than the sum of its proper divisors (65082).

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 (61560).

58038 is a wasteful number, since it uses less digits than its factorization.

58038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 58038 is about 240.9107718638. The cubic root of 58038 is about 38.7172181994.

The spelling of 58038 in words is "fifty-eight thousand, thirty-eight".