98792 has 16 divisors (see below), whose sum is σ = 189540. Its totient is φ = 48256.

The previous prime is 98779. The next prime is 98801. The reversal of 98792 is 29789.

It can be written as a sum of positive squares in 2 ways, for example, as 98596 + 196 = 314^2 + 14^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98792.

It is an unprimeable number.

98792 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 308 + ... + 540.

2⁹⁸⁷⁹² is an apocalyptic number.

It is an amenable number.

98792 is a deficient number, since it is larger than the sum of its proper divisors (90748).

98792 is a wasteful number, since it uses less digits than its factorization.

98792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its digits is 9072, while the sum is 35.

The square root of 98792 is about 314.3119469572. The cubic root of 98792 is about 46.2282293447.

The spelling of 98792 in words is "ninety-eight thousand, seven hundred ninety-two".