580972 has 12 divisors (see below), whose sum is σ = 1162000. Its totient is φ = 248976.

The previous prime is 580969. The next prime is 580981. The reversal of 580972 is 279085.

580972 is an admirable number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 10347 + ... + 10402.

2⁵⁸⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

580972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

580972 is a wasteful number, since it uses less digits than its factorization.

580972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20760 (or 20758 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 580972 is about 762.2151927113. The cubic root of 580972 is about 83.4420696109.

The spelling of 580972 in words is "five hundred eighty thousand, nine hundred seventy-two".