997984 has 24 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 460416.

The previous prime is 997973. The next prime is 997991. The reversal of 997984 is 489799.

997984 = 92² + 93² + ... + 155².

997984 is nontrivially palindromic in base 9.

997984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 784 + ... + 1615.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

2⁹⁹⁷⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

997984 is an abundant number, since it is smaller than the sum of its proper divisors (1118816).

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

997984 is a wasteful number, since it uses less digits than its factorization.

997984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2414 counting only the distinct ones).

The product of its digits is 163296, while the sum is 46.

The square root of 997984 is about 998.9914914553. The cubic root of 997984 is about 99.9327547910.

The spelling of 997984 in words is "nine hundred ninety-seven thousand, nine hundred eighty-four".