58812 has 36 divisors (see below), whose sum is σ = 153720. Its totient is φ = 17472.

The previous prime is 58789. The next prime is 58831. The reversal of 58812 is 21885.

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 58812.

It is an unprimeable number.

58812 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 11 ways as a sum of consecutive naturals, for example, 2014 + ... + 2042.

It is an arithmetic number, because the mean of its divisors is an integer number (4270).

2⁵⁸⁸¹² is an apocalyptic number.

58812 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76860).

58812 is an abundant number, since it is smaller than the sum of its proper divisors (94908).

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

58812 is a wasteful number, since it uses less digits than its factorization.

58812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 58812 is about 242.5118553803. The cubic root of 58812 is about 38.8885708213. Note that the first 3 decimals are identical.

It can be divided in two parts, 588 and 12, that multiplied together give a square (7056 = 84²).

The spelling of 58812 in words is "fifty-eight thousand, eight hundred twelve".