9792 has 42 divisors (see below), whose sum is σ = 29718. Its totient is φ = 3072.

The previous prime is 9791. The next prime is 9803. The reversal of 9792 is 2979.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 576 = 96^2 + 24^2 .

It is not an unprimeable number, because it can be changed into a prime (9791) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 568 + ... + 584.

2⁹⁷⁹² 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 9792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859).

9792 is an abundant number, since it is smaller than the sum of its proper divisors (19926).

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

9792 is a wasteful number, since it uses less digits than its factorization.

9792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 22 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 9792 is about 98.9545350148. The cubic root of 9792 is about 21.3939249650.

The spelling of 9792 in words is "nine thousand, seven hundred ninety-two".