508221 has 16 divisors (see below), whose sum is σ = 860800. Its totient is φ = 290304.

The previous prime is 508213. The next prime is 508223. The reversal of 508221 is 122805.

It is not a de Polignac number, because 508221 - 2³ = 508213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 508194 and 508203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508223) 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 15 ways as a sum of consecutive naturals, for example, 1156 + ... + 1533.

It is an arithmetic number, because the mean of its divisors is an integer number (53800).

2⁵⁰⁸²²¹ is an apocalyptic number.

It is an amenable number.

508221 is a deficient number, since it is larger than the sum of its proper divisors (352579).

508221 is a wasteful number, since it uses less digits than its factorization.

508221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2699 counting only the distinct ones).

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

The square root of 508221 is about 712.8962056288. The cubic root of 508221 is about 79.8026908471.

It can be divided in two parts, 508 and 221, that added together give a 6-th power (729 = 3⁶).

The spelling of 508221 in words is "five hundred eight thousand, two hundred twenty-one".