58813 has 4 divisors (see below), whose sum is σ = 59488. Its totient is φ = 58140.

The previous prime is 58789. The next prime is 58831. The reversal of 58813 is 31885.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-58813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183 + ... + 388.

It is an arithmetic number, because the mean of its divisors is an integer number (14872).

2⁵⁸⁸¹³ is an apocalyptic number.

It is an amenable number.

58813 is a deficient number, since it is larger than the sum of its proper divisors (675).

58813 is a wasteful number, since it uses less digits than its factorization.

58813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674.

The product of its digits is 960, while the sum is 25.

The square root of 58813 is about 242.5139171264. The cubic root of 58813 is about 38.8887912318. Note that the first 3 decimals are identical.

The spelling of 58813 in words is "fifty-eight thousand, eight hundred thirteen".