580800165 has 32 divisors (see below), whose sum is σ = 1016585856. Its totient is φ = 280815360.

The previous prime is 580800161. The next prime is 580800167. The reversal of 580800165 is 561008085.

580800165 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 580800165 - 2² = 580800161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580800161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56827 + ... + 66263.

It is an arithmetic number, because the mean of its divisors is an integer number (31768308).

Almost surely, 2^580800165 is an apocalyptic number.

580800165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

580800165 is a deficient number, since it is larger than the sum of its proper divisors (435785691).

580800165 is a wasteful number, since it uses less digits than its factorization.

580800165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9829.

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 580800165 is about 24099.7959534931. The cubic root of 580800165 is about 834.3384220243.

It can be divided in two parts, 580 and 800165, that added together give a triangular number (800745 = T₁₂₆₅).

The spelling of 580800165 in words is "five hundred eighty million, eight hundred thousand, one hundred sixty-five".