58772313 has 6 divisors (see below), whose sum is σ = 84893354. Its totient is φ = 39181536.

The previous prime is 58772297. The next prime is 58772327. The reversal of 58772313 is 31327785.

58772313 is a `hidden beast` number, since 587 + 72 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52881984 + 5890329 = 7272^2 + 2427^2 .

It is not a de Polignac number, because 58772313 - 2⁴ = 58772297 is a prime.

It is a super-3 number, since 3×58772313³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58772113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3265120 + ... + 3265137.

Almost surely, 2^58772313 is an apocalyptic number.

It is an amenable number.

58772313 is a deficient number, since it is larger than the sum of its proper divisors (26121041).

58772313 is a wasteful number, since it uses less digits than its factorization.

58772313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6530263 (or 6530260 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 58772313 is about 7666.3102598316. The cubic root of 58772313 is about 388.7982137105.

It can be divided in two parts, 587 and 72313, that added together give a square (72900 = 270²).

The spelling of 58772313 in words is "fifty-eight million, seven hundred seventy-two thousand, three hundred thirteen".