516633 has 12 divisors (see below), whose sum is σ = 746640. Its totient is φ = 317616.

The previous prime is 516623. The next prime is 516643. The reversal of 516633 is 336615.

It is an interprime number because it is at equal distance from previous prime (516623) and next prime (516643).

It is not a de Polignac number, because 516633 - 2⁴ = 516617 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516633.

It is not an unprimeable number, because it can be changed into a prime (516623) 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, 3 + ... + 1016.

It is an arithmetic number, because the mean of its divisors is an integer number (62220).

2⁵¹⁶⁶³³ is an apocalyptic number.

It is an amenable number.

516633 is a deficient number, since it is larger than the sum of its proper divisors (230007).

516633 is a wasteful number, since it uses less digits than its factorization.

516633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1035 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 516633 is about 718.7718692325. The cubic root of 516633 is about 80.2405778866.

The spelling of 516633 in words is "five hundred sixteen thousand, six hundred thirty-three".