97853200 has 30 divisors (see below), whose sum is σ = 235093274. Its totient is φ = 39141120.

The previous prime is 97853191. The next prime is 97853227. The reversal of 97853200 is 235879.

It can be written as a sum of positive squares in 3 ways, for example, as 80656 + 97772544 = 284^2 + 9888^2 .

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, 121917 + ... + 122716.

Almost surely, 2^97853200 is an apocalyptic number.

It is an amenable number.

97853200 is an abundant number, since it is smaller than the sum of its proper divisors (137240074).

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

97853200 is a wasteful number, since it uses less digits than its factorization.

97853200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244651 (or 244640 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 97853200 is about 9892.0776381911. The cubic root of 97853200 is about 460.8133059831.

The spelling of 97853200 in words is "ninety-seven million, eight hundred fifty-three thousand, two hundred".