58158 has 20 divisors (see below), whose sum is σ = 130680. Its totient is φ = 19332.

The previous prime is 58153. The next prime is 58169. The reversal of 58158 is 85185.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58151) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (6534).

2⁵⁸¹⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65340).

58158 is an abundant number, since it is smaller than the sum of its proper divisors (72522).

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

58158 is a wasteful number, since it uses less digits than its factorization.

58158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 58158 is about 241.1596981255. The cubic root of 58158 is about 38.7438838769.

Adding to 58158 its sum of digits (27), we get a palindrome (58185).

It can be divided in two parts, 58 and 158, that added together give a cube (216 = 6³).

The spelling of 58158 in words is "fifty-eight thousand, one hundred fifty-eight".