96972282 has 64 divisors (see below), whose sum is σ = 239155200. Its totient is φ = 28877040.

The previous prime is 96972269. The next prime is 96972283. The reversal of 96972282 is 28227969.

It is not an unprimeable number, because it can be changed into a prime (96972283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33663 + ... + 36429.

It is an arithmetic number, because the mean of its divisors is an integer number (3736800).

Almost surely, 2^96972282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96972282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119577600).

96972282 is an abundant number, since it is smaller than the sum of its proper divisors (142182918).

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

96972282 is a wasteful number, since it uses less digits than its factorization.

96972282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2842 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 96972282 is about 9847.4505330060. The cubic root of 96972282 is about 459.4263201307.

The spelling of 96972282 in words is "ninety-six million, nine hundred seventy-two thousand, two hundred eighty-two".