58784 has 24 divisors (see below), whose sum is σ = 127008. Its totient is φ = 26560.

The previous prime is 58771. The next prime is 58787. The reversal of 58784 is 48785.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 58784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 269 + ... + 435.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁵⁸⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504).

58784 is an abundant number, since it is smaller than the sum of its proper divisors (68224).

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

58784 is a wasteful number, since it uses less digits than its factorization.

58784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 58784 is about 242.4541193711. The cubic root of 58784 is about 38.8823983121.

Subtracting from 58784 its reverse (48785), we obtain a palindrome (9999).

The spelling of 58784 in words is "fifty-eight thousand, seven hundred eighty-four".