58275 has 36 divisors (see below), whose sum is σ = 122512. Its totient is φ = 25920.

The previous prime is 58271. The next prime is 58309. The reversal of 58275 is 57285.

It is a happy number.

It is not a de Polignac number, because 58275 - 2² = 58271 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (58271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1557 + ... + 1593.

2⁵⁸²⁷⁵ is an apocalyptic number.

58275 is an abundant number, since it is smaller than the sum of its proper divisors (64237).

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 (61256).

58275 is a wasteful number, since it uses less digits than its factorization.

58275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 52 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 58275 is about 241.4021540915. The cubic root of 58275 is about 38.7698476194.

Adding to 58275 its product of digits (2800), we get a triangular number (61075 = T₃₄₉).

Subtracting from 58275 its reverse (57285), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 5827 and 5, that added together give a cube (5832 = 18³).

The spelling of 58275 in words is "fifty-eight thousand, two hundred seventy-five".