58135 has 16 divisors (see below), whose sum is σ = 87552. Its totient is φ = 36000.

The previous prime is 58129. The next prime is 58147. The reversal of 58135 is 53185.

It is not a de Polignac number, because 58135 - 2¹¹ = 56087 is a prime.

It is a Duffinian number.

58135 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310 + ... + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (5472).

2⁵⁸¹³⁵ is an apocalyptic number.

58135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

58135 is a deficient number, since it is larger than the sum of its proper divisors (29417).

58135 is a wasteful number, since it uses less digits than its factorization.

58135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its digits is 600, while the sum is 22.

The square root of 58135 is about 241.1120071668. The cubic root of 58135 is about 38.7387757987.

Subtracting from 58135 its reverse (53185), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 581 and 35, that added together give a palindrome (616).

The spelling of 58135 in words is "fifty-eight thousand, one hundred thirty-five".