96817792 has 32 divisors (see below), whose sum is σ = 194814900. Its totient is φ = 47923200.

The previous prime is 96817759. The next prime is 96817807. The reversal of 96817792 is 29771869.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 88661056 + 8156736 = 9416^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9184 + ... + 16672.

Almost surely, 2^96817792 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 96817792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97407450).

96817792 is an abundant number, since it is smaller than the sum of its proper divisors (97997108).

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

96817792 is a wasteful number, since it uses less digits than its factorization.

96817792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7604 (or 7592 counting only the distinct ones).

The product of its digits is 381024, while the sum is 49.

The square root of 96817792 is about 9839.6032440338. The cubic root of 96817792 is about 459.1822143030.

The spelling of 96817792 in words is "ninety-six million, eight hundred seventeen thousand, seven hundred ninety-two".