97972800 has 84 divisors (see below), whose sum is σ = 321448176. Its totient is φ = 26124800.

The previous prime is 97972799. The next prime is 97972807. The reversal of 97972800 is 827979.

It is not an unprimeable number, because it can be changed into a prime (97972807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5406 + ... + 15005.

It is an arithmetic number, because the mean of its divisors is an integer number (3826764).

Almost surely, 2^97972800 is an apocalyptic number.

It is an amenable number.

97972800 is an abundant number, since it is smaller than the sum of its proper divisors (223475376).

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

97972800 is a wasteful number, since it uses less digits than its factorization.

97972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20436 (or 20421 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 97972800 is about 9898.1210338124. The cubic root of 97972800 is about 461.0009708824. Note that the first 3 decimals are identical.

The spelling of 97972800 in words is "ninety-seven million, nine hundred seventy-two thousand, eight hundred".