97992 has 24 divisors (see below), whose sum is σ = 265590. Its totient is φ = 32640.

The previous prime is 97987. The next prime is 98009. The reversal of 97992 is 29979.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 4356 = 306^2 + 66^2 .

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

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

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97992.

It is an unprimeable number.

97992 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, 609 + ... + 752.

2⁹⁷⁹⁹² is an apocalyptic number.

It is an amenable number.

97992 is an abundant number, since it is smaller than the sum of its proper divisors (167598).

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

97992 is a wasteful number, since it uses less digits than its factorization.

97992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1366 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 97992 is about 313.0367390579. The cubic root of 97992 is about 46.1031083460.

It can be divided in two parts, 9799 and 2, that added together give a square (9801 = 99²).

The spelling of 97992 in words is "ninety-seven thousand, nine hundred ninety-two".