97792 has 20 divisors (see below), whose sum is σ = 196416. Its totient is φ = 48640.

The previous prime is 97789. The next prime is 97813. The reversal of 97792 is 29779.

It is a congruent number.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 417 + ... + 607.

2⁹⁷⁷⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208).

97792 is an abundant number, since it is smaller than the sum of its proper divisors (98624).

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

97792 is an equidigital number, since it uses as much as digits as its factorization.

97792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its digits is 7938, while the sum is 34.

The square root of 97792 is about 312.7171245711. The cubic root of 97792 is about 46.0717217639.

The spelling of 97792 in words is "ninety-seven thousand, seven hundred ninety-two".