97633272 has 64 divisors (see below), whose sum is σ = 267494400. Its totient is φ = 29450240.

The previous prime is 97633247. The next prime is 97633303. The reversal of 97633272 is 27233679.

It is a self number, because there is not a number n which added to its sum of digits gives 97633272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67129 + ... + 68567.

It is an arithmetic number, because the mean of its divisors is an integer number (4179600).

Almost surely, 2^97633272 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 97633272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133747200).

97633272 is an abundant number, since it is smaller than the sum of its proper divisors (169861128).

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

97633272 is a wasteful number, since it uses less digits than its factorization.

97633272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1712 counting only the distinct ones).

The product of its digits is 95256, while the sum is 39.

The square root of 97633272 is about 9880.9550145722. The cubic root of 97633272 is about 460.4678164486.

The spelling of 97633272 in words is "ninety-seven million, six hundred thirty-three thousand, two hundred seventy-two".