580761 has 12 divisors (see below), whose sum is σ = 845988. Its totient is φ = 383904.

The previous prime is 580759. The next prime is 580763. The reversal of 580761 is 167085.

580761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (580759) and next prime (580763).

It can be written as a sum of positive squares in 2 ways, for example, as 435600 + 145161 = 660^2 + 381^2 .

It is not a de Polignac number, because 580761 - 2¹ = 580759 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (580763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1371 + ... + 1743.

It is an arithmetic number, because the mean of its divisors is an integer number (70499).

2⁵⁸⁰⁷⁶¹ is an apocalyptic number.

It is an amenable number.

580761 is a deficient number, since it is larger than the sum of its proper divisors (265227).

580761 is a wasteful number, since it uses less digits than its factorization.

580761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 580761 is about 762.0767677866. The cubic root of 580761 is about 83.4319667668.

The spelling of 580761 in words is "five hundred eighty thousand, seven hundred sixty-one".