23058 has 32 divisors (see below), whose sum is σ = 59520. Its totient is φ = 6480.

The previous prime is 23057. The next prime is 23059. The reversal of 23058 is 85032.

23058 = 7⁴ + 8⁴ + ... + 10⁴.

It is an interprime number because it is at equal distance from previous prime (23057) and next prime (23059).

It is a super-3 number, since 3×23058³ = 36777834933336, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 23058.

It is not an unprimeable number, because it can be changed into a prime (23053) 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, 348 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2²³⁰⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760).

23058 is an abundant number, since it is smaller than the sum of its proper divisors (36462).

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

23058 is a wasteful number, since it uses less digits than its factorization.

23058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23058 is about 151.8486088181. The cubic root of 23058 is about 28.4625547014.

It can be divided in two parts, 2 and 3058, that multiplied together give a palindrome (6116).

The spelling of 23058 in words is "twenty-three thousand, fifty-eight".