580713 has 8 divisors (see below), whose sum is σ = 884928. Its totient is φ = 331824.

The previous prime is 580711. The next prime is 580717. The reversal of 580713 is 317085.

580713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 580713 - 2¹ = 580711 is a prime.

It is a super-3 number, since 3×580713³ = 587497333573581291, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (580711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13806 + ... + 13847.

It is an arithmetic number, because the mean of its divisors is an integer number (110616).

2⁵⁸⁰⁷¹³ is an apocalyptic number.

It is an amenable number.

580713 is a deficient number, since it is larger than the sum of its proper divisors (304215).

580713 is a wasteful number, since it uses less digits than its factorization.

580713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27663.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 580713 is about 762.0452742456. The cubic root of 580713 is about 83.4296681479.

Adding to 580713 its reverse (317085), we get a palindrome (897798).

The spelling of 580713 in words is "five hundred eighty thousand, seven hundred thirteen".