97984 has 14 divisors (see below), whose sum is σ = 194564. Its totient is φ = 48960.

The previous prime is 97973. The next prime is 97987. The reversal of 97984 is 48979.

It is a happy number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (97987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 702 + ... + 829.

2⁹⁷⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

97984 is a deficient number, since it is larger than the sum of its proper divisors (96580).

97984 is a wasteful number, since it uses less digits than its factorization.

97984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1533 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 97984 is about 313.0239607442. The cubic root of 97984 is about 46.1018537030.

It can be divided in two parts, 97 and 984, that added together give a triangular number (1081 = T₄₆).

The spelling of 97984 in words is "ninety-seven thousand, nine hundred eighty-four".