508993 has 4 divisors (see below), whose sum is σ = 517680. Its totient is φ = 500308.

The previous prime is 508987. The next prime is 509023. The reversal of 508993 is 399805.

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.

It is a cyclic number.

It is not a de Polignac number, because 508993 - 2⁵ = 508961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (508903) 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, 4255 + ... + 4372.

It is an arithmetic number, because the mean of its divisors is an integer number (129420).

2⁵⁰⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

508993 is a deficient number, since it is larger than the sum of its proper divisors (8687).

508993 is an equidigital number, since it uses as much as digits as its factorization.

508993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8686.

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 508993 is about 713.4374534604. The cubic root of 508993 is about 79.8430778108.

The spelling of 508993 in words is "five hundred eight thousand, nine hundred ninety-three".