58292 has 24 divisors (see below), whose sum is σ = 117600. Its totient is φ = 25056.

The previous prime is 58271. The next prime is 58309. The reversal of 58292 is 29285.

58292 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58292.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

2⁵⁸²⁹² is an apocalyptic number.

58292 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

58292 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (58800).

58292 is a wasteful number, since it uses less digits than its factorization.

58292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 58292 is about 241.4373624773. The cubic root of 58292 is about 38.7736172366.

The spelling of 58292 in words is "fifty-eight thousand, two hundred ninety-two".