580221 has 12 divisors (see below), whose sum is σ = 874848. Its totient is φ = 369864.

The previous prime is 580219. The next prime is 580231. The reversal of 580221 is 122085.

It is not a de Polignac number, because 580221 - 2¹ = 580219 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 580194 and 580203.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 580221.

It is not an unprimeable number, because it can be changed into a prime (580201) 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, 1195 + ... + 1608.

It is an arithmetic number, because the mean of its divisors is an integer number (72904).

2⁵⁸⁰²²¹ is an apocalyptic number.

It is an amenable number.

580221 is a deficient number, since it is larger than the sum of its proper divisors (294627).

580221 is a wasteful number, since it uses less digits than its factorization.

580221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 580221 is about 761.7223903759. The cubic root of 580221 is about 83.4060999972.

The spelling of 580221 in words is "five hundred eighty thousand, two hundred twenty-one".