58084 has 12 divisors (see below), whose sum is σ = 109564. Its totient is φ = 26784.

The previous prime is 58073. The next prime is 58099. The reversal of 58084 is 48085.

58084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 52900 = 72^2 + 230^2 .

It is a super-4 number, since 4×58084⁴ = 45528784751444460544, which contains 4444 as substring.

It is an unprimeable number.

58084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 507 + ... + 610.

2⁵⁸⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

58084 is a deficient number, since it is larger than the sum of its proper divisors (51480).

58084 is a wasteful number, since it uses less digits than its factorization.

58084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 58084 is about 241.0062239860. The cubic root of 58084 is about 38.7274443829.

Subtracting from 58084 its reverse (48085), we obtain a palindrome (9999).

It can be divided in two parts, 5808 and 4, that multiplied together give a palindrome (23232).

The spelling of 58084 in words is "fifty-eight thousand, eighty-four".