96957200 has 30 divisors (see below), whose sum is σ = 232940634. Its totient is φ = 38782720.

The previous prime is 96957199. The next prime is 96957221. The reversal of 96957200 is 275969.

It can be written as a sum of positive squares in 3 ways, for example, as 446224 + 96510976 = 668^2 + 9824^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120797 + ... + 121596.

Almost surely, 2^96957200 is an apocalyptic number.

It is an amenable number.

96957200 is an abundant number, since it is smaller than the sum of its proper divisors (135983434).

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

96957200 is a wasteful number, since it uses less digits than its factorization.

96957200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242411 (or 242400 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 96957200 is about 9846.6847212653. The cubic root of 96957200 is about 459.4025008603.

The spelling of 96957200 in words is "ninety-six million, nine hundred fifty-seven thousand, two hundred".