515985 has 16 divisors (see below), whose sum is σ = 846720. Its totient is φ = 268160.

The previous prime is 515969. The next prime is 515993. The reversal of 515985 is 589515.

It is not a de Polignac number, because 515985 - 2⁴ = 515969 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁵¹⁵⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

515985 is a deficient number, since it is larger than the sum of its proper divisors (330735).

515985 is a wasteful number, since it uses less digits than its factorization.

515985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888.

The product of its digits is 9000, while the sum is 33.

The square root of 515985 is about 718.3209589035. The cubic root of 515985 is about 80.2070159263.

The spelling of 515985 in words is "five hundred fifteen thousand, nine hundred eighty-five".