507993 has 8 divisors (see below), whose sum is σ = 700800. Its totient is φ = 326928.

The previous prime is 507979. The next prime is 508009. The reversal of 507993 is 399705.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 507993 - 2⁵ = 507961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (507953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2833 + ... + 3006.

It is an arithmetic number, because the mean of its divisors is an integer number (87600).

2⁵⁰⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

507993 is a deficient number, since it is larger than the sum of its proper divisors (192807).

507993 is a wasteful number, since it uses less digits than its factorization.

507993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871.

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 507993 is about 712.7362766129. The cubic root of 507993 is about 79.7907552685.

The spelling of 507993 in words is "five hundred seven thousand, nine hundred ninety-three".