968985 has 24 divisors (see below), whose sum is σ = 1711944. Its totient is φ = 506880.

The previous prime is 968971. The next prime is 969011. The reversal of 968985 is 589869.

968985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 729 + 968256 = 27^2 + 984^2 .

It is not a de Polignac number, because 968985 - 2⁷ = 968857 is a prime.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 968985.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2569 + ... + 2921.

It is an arithmetic number, because the mean of its divisors is an integer number (71331).

2⁹⁶⁸⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

968985 is a deficient number, since it is larger than the sum of its proper divisors (742959).

968985 is a wasteful number, since it uses less digits than its factorization.

968985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 422 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 968985 is about 984.3703571319. The cubic root of 968985 is about 98.9552904943.

It can be divided in two parts, 968 and 985, that added together give a triangular number (1953 = T₆₂).

The spelling of 968985 in words is "nine hundred sixty-eight thousand, nine hundred eighty-five".