959985 has 32 divisors (see below), whose sum is σ = 1841280. Its totient is φ = 471744.

The previous prime is 959969. The next prime is 960017. The reversal of 959985 is 589959.

It is not a de Polignac number, because 959985 - 2⁴ = 959969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

959985 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 959985.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482 + ... + 2028.

It is an arithmetic number, because the mean of its divisors is an integer number (57540).

2⁹⁵⁹⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

959985 is a deficient number, since it is larger than the sum of its proper divisors (881295).

959985 is a wasteful number, since it uses less digits than its factorization.

959985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its digits is 145800, while the sum is 45.

The square root of 959985 is about 979.7882424279. The cubic root of 959985 is about 98.6479691764.

The spelling of 959985 in words is "nine hundred fifty-nine thousand, nine hundred eighty-five".