58400164 has 9 divisors (see below), whose sum is σ = 102227041. Its totient is φ = 29192440.

The previous prime is 58400143. The next prime is 58400183. The reversal of 58400164 is 46100485.

The square root of 58400164 is 7642.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52446564 + 5953600 = 7242^2 + 2440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13374 + ... + 17194.

Almost surely, 2^58400164 is an apocalyptic number.

58400164 is the 7642-nd square number.

It is an amenable number.

58400164 is a deficient number, since it is larger than the sum of its proper divisors (43826877).

58400164 is an frugal number, since it uses more digits than its factorization.

58400164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The cubic root of 58400164 is about 387.9758460891.

It can be divided in two parts, 58400 and 164, that added together give a square (58564 = 242²).

The spelling of 58400164 in words is "fifty-eight million, four hundred thousand, one hundred sixty-four".