58984 has 16 divisors (see below), whose sum is σ = 113220. Its totient is φ = 28800.

The previous prime is 58979. The next prime is 58991. The reversal of 58984 is 48985.

58984 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 52900 + 6084 = 230^2 + 78^2 .

It is a super-2 number, since 2×58984² = 6958224512, which contains 22 as substring.

Its product of digits (11520) is a multiple of the sum of its prime factors (180).

It is an unprimeable number.

58984 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, 534 + ... + 634.

2⁵⁸⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

58984 is a deficient number, since it is larger than the sum of its proper divisors (54236).

58984 is a wasteful number, since it uses less digits than its factorization.

58984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 58984 is about 242.8662183178. The cubic root of 58984 is about 38.9264447478.

Multiplying 58984 by its product of digits (11520), we get a triangular number (679495680 = T₃₆₈₆₄).

Subtracting from 58984 its reverse (48985), we obtain a palindrome (9999).

The spelling of 58984 in words is "fifty-eight thousand, nine hundred eighty-four".