96992952 has 96 divisors (see below), whose sum is σ = 286513920. Its totient is φ = 27276480.

The previous prime is 96992941. The next prime is 96992953. The reversal of 96992952 is 25929969.

It is a junction number, because it is equal to n+sod(n) for n = 96992895 and 96992904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96992953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78177 + ... + 79407.

It is an arithmetic number, because the mean of its divisors is an integer number (2984520).

Almost surely, 2^96992952 is an apocalyptic number.

It is a pronic number, being equal to 9848×9849.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96992952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143256960).

96992952 is an abundant number, since it is smaller than the sum of its proper divisors (189520968).

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

96992952 is a wasteful number, since it uses less digits than its factorization.

96992952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1310 counting only the distinct ones).

The product of its digits is 787320, while the sum is 51.

The square root of 96992952 is about 9848.4999873077. The cubic root of 96992952 is about 459.4589606172.

The spelling of 96992952 in words is "ninety-six million, nine hundred ninety-two thousand, nine hundred fifty-two".