978984 has 24 divisors (see below), whose sum is σ = 2651610. Its totient is φ = 326304.

The previous prime is 978973. The next prime is 978997. The reversal of 978984 is 489879.

It can be written as a sum of positive squares in only one way, i.e., 956484 + 22500 = 978^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 978984.

It is an unprimeable number.

978984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6727 + ... + 6870.

2⁹⁷⁸⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

978984 is an abundant number, since it is smaller than the sum of its proper divisors (1672626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

978984 is a wasteful number, since it uses less digits than its factorization.

978984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13609 (or 13602 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 978984 is about 989.4362030975. The cubic root of 978984 is about 99.2945010844.

The spelling of 978984 in words is "nine hundred seventy-eight thousand, nine hundred eighty-four".