96792 has 32 divisors (see below), whose sum is σ = 250800. Its totient is φ = 31104.

The previous prime is 96787. The next prime is 96797. The reversal of 96792 is 29769.

It is an interprime number because it is at equal distance from previous prime (96787) and next prime (96797).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834 + ... + 942.

2⁹⁶⁷⁹² 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 96792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125400).

96792 is an abundant number, since it is smaller than the sum of its proper divisors (154008).

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

96792 is a wasteful number, since it uses less digits than its factorization.

96792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 96792 is about 311.1141269695. The cubic root of 96792 is about 45.9141435712.

It can be divided in two parts, 96 and 792, that added together give a palindrome (888).

The spelling of 96792 in words is "ninety-six thousand, seven hundred ninety-two".