580369 has 4 divisors (see below), whose sum is σ = 586980. Its totient is φ = 573760.

The previous prime is 580361. The next prime is 580373. The reversal of 580369 is 963085.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 963085 = 5 ⋅192617.

It can be written as a sum of positive squares in 2 ways, for example, as 342225 + 238144 = 585^2 + 488^2 .

It is a cyclic number.

It is not a de Polignac number, because 580369 - 2³ = 580361 is a prime.

It is a super-2 number, since 2×580369² = 673656352322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

580369 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 580369.

It is not an unprimeable number, because it can be changed into a prime (580361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3172 + ... + 3349.

It is an arithmetic number, because the mean of its divisors is an integer number (146745).

2⁵⁸⁰³⁶⁹ is an apocalyptic number.

It is an amenable number.

580369 is a deficient number, since it is larger than the sum of its proper divisors (6611).

580369 is an equidigital number, since it uses as much as digits as its factorization.

580369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 580369 is about 761.8195324353. The cubic root of 580369 is about 83.4131910041.

It can be divided in two parts, 580 and 369, that added together give a palindrome (949).

The spelling of 580369 in words is "five hundred eighty thousand, three hundred sixty-nine".