97288200 has 72 divisors (see below), whose sum is σ = 326732250. Its totient is φ = 25943040.

The previous prime is 97288181. The next prime is 97288249. The reversal of 97288200 is 288279.

It can be written as a sum of positive squares in 3 ways, for example, as 93199716 + 4088484 = 9654^2 + 2022^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25225 + ... + 28824.

Almost surely, 2^97288200 is an apocalyptic number.

97288200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97288200 is an abundant number, since it is smaller than the sum of its proper divisors (229444050).

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

97288200 is a wasteful number, since it uses less digits than its factorization.

97288200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54071 (or 54059 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 97288200 is about 9863.4780883824. The cubic root of 97288200 is about 459.9246883637.

The spelling of 97288200 in words is "ninety-seven million, two hundred eighty-eight thousand, two hundred".