97201800 has 72 divisors (see below), whose sum is σ = 326442090. Its totient is φ = 25920000.

The previous prime is 97201787. The next prime is 97201829. The reversal of 97201800 is 810279.

It can be written as a sum of positive squares in 3 ways, for example, as 58339044 + 38862756 = 7638^2 + 6234^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 25201 + ... + 28800.

Almost surely, 2^97201800 is an apocalyptic number.

97201800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97201800 is an abundant number, since it is smaller than the sum of its proper divisors (229240290).

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

97201800 is a wasteful number, since it uses less digits than its factorization.

97201800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54023 (or 54011 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 97201800 is about 9859.0973217633. The cubic root of 97201800 is about 459.7884976017.

The spelling of 97201800 in words is "ninety-seven million, two hundred one thousand, eight hundred".