58092 has 24 divisors (see below), whose sum is σ = 139776. Its totient is φ = 18768.

The previous prime is 58073. The next prime is 58099. The reversal of 58092 is 29085.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58092.

It is not an unprimeable number, because it can be changed into a prime (58099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (5824).

2⁵⁸⁰⁹² is an apocalyptic number.

It is an amenable number.

58092 is an abundant number, since it is smaller than the sum of its proper divisors (81684).

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 (69888).

58092 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 58092 = (20598)₁₃.

58092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 58092 is about 241.0228204963. The cubic root of 58092 is about 38.7292222984.

The spelling of 58092 in words is "fifty-eight thousand, ninety-two".