982944 has 36 divisors (see below), whose sum is σ = 2796066. Its totient is φ = 327552.

The previous prime is 982939. The next prime is 982967. The reversal of 982944 is 449289.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 608400 + 374544 = 780^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 982899 and 982908.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 982944.

It is an unprimeable number.

982944 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1419 + ... + 1994.

2⁹⁸²⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

982944 is an abundant number, since it is smaller than the sum of its proper divisors (1813122).

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

982944 is a wasteful number, since it uses less digits than its factorization.

982944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3418 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 982944 is about 991.4353231553. The cubic root of 982944 is about 99.4282033846.

It can be divided in two parts, 9 and 82944, that multiplied together give a square (746496 = 864²).

The spelling of 982944 in words is "nine hundred eighty-two thousand, nine hundred forty-four".