97831200 has 72 divisors (see below), whose sum is σ = 318448368. Its totient is φ = 26087680.

The previous prime is 97831177. The next prime is 97831231. The reversal of 97831200 is 213879.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17982 + ... + 22781.

It is an arithmetic number, because the mean of its divisors is an integer number (4422894).

Almost surely, 2^97831200 is an apocalyptic number.

It is an amenable number.

97831200 is an abundant number, since it is smaller than the sum of its proper divisors (220617168).

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

97831200 is a wasteful number, since it uses less digits than its factorization.

97831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40786 (or 40773 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 97831200 is about 9890.9655747050. The cubic root of 97831200 is about 460.7787690353.

The spelling of 97831200 in words is "ninety-seven million, eight hundred thirty-one thousand, two hundred".