580309 has 4 divisors (see below), whose sum is σ = 592704. Its totient is φ = 567916.

The previous prime is 580303. The next prime is 580331. The reversal of 580309 is 903085.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 903085 = 5 ⋅180617.

It is a cyclic number.

It is not a de Polignac number, because 580309 - 2³ = 580301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580301) by changing a digit.

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, 6127 + ... + 6220.

It is an arithmetic number, because the mean of its divisors is an integer number (148176).

2⁵⁸⁰³⁰⁹ is an apocalyptic number.

It is an amenable number.

580309 is a deficient number, since it is larger than the sum of its proper divisors (12395).

580309 is a wasteful number, since it uses less digits than its factorization.

580309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12394.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 580309 is about 761.7801520124. The cubic root of 580309 is about 83.4103164169.

The spelling of 580309 in words is "five hundred eighty thousand, three hundred nine".