58035 has 16 divisors (see below), whose sum is σ = 95904. Its totient is φ = 29952.

The previous prime is 58031. The next prime is 58043. The reversal of 58035 is 53085.

It is not a de Polignac number, because 58035 - 2² = 58031 is a prime.

It is a super-2 number, since 2×58035² = 6736122450, which contains 22 as substring.

It is a D-number.

It is a nialpdrome in base 9.

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 15 ways as a sum of consecutive naturals, for example, 759 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (5994).

2⁵⁸⁰³⁵ is an apocalyptic number.

58035 is a deficient number, since it is larger than the sum of its proper divisors (37869).

58035 is a wasteful number, since it uses less digits than its factorization.

58035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 58035 is about 240.9045454117. The cubic root of 58035 is about 38.7165510867.

Subtracting from 58035 its reverse (53085), we obtain a triangular number (4950 = T₉₉).

The spelling of 58035 in words is "fifty-eight thousand, thirty-five".