97935200 has 144 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 34368000.

The previous prime is 97935197. The next prime is 97935203. The reversal of 97935200 is 253979.

It is an interprime number because it is at equal distance from previous prime (97935197) and next prime (97935203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97935203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272621 + ... + 272979.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^97935200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97935200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

97935200 is an abundant number, since it is smaller than the sum of its proper divisors (172047520).

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

97935200 is a wasteful number, since it uses less digits than its factorization.

97935200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 97935200 is about 9896.2215011589. The cubic root of 97935200 is about 460.9419890207.

The spelling of 97935200 in words is "ninety-seven million, nine hundred thirty-five thousand, two hundred".