967984 has 20 divisors (see below), whose sum is σ = 1897200. Its totient is φ = 478400.

The previous prime is 967979. The next prime is 967999. The reversal of 967984 is 489769.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 967984.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1317 + ... + 1915.

It is an arithmetic number, because the mean of its divisors is an integer number (94860).

2⁹⁶⁷⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

967984 is a deficient number, since it is larger than the sum of its proper divisors (929216).

967984 is a wasteful number, since it uses less digits than its factorization.

967984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 967984 is about 983.8617789100. The cubic root of 967984 is about 98.9212038386.

The spelling of 967984 in words is "nine hundred sixty-seven thousand, nine hundred eighty-four".