97905200 has 60 divisors (see below), whose sum is σ = 236867280. Its totient is φ = 38887680.

The previous prime is 97905187. The next prime is 97905221. The reversal of 97905200 is 250979.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62021 + ... + 63579.

It is an arithmetic number, because the mean of its divisors is an integer number (3947788).

Almost surely, 2^97905200 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 97905200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118433640).

97905200 is an abundant number, since it is smaller than the sum of its proper divisors (138962080).

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

97905200 is a wasteful number, since it uses less digits than its factorization.

97905200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 97905200 is about 9894.7056550460. The cubic root of 97905200 is about 460.8949181960.

The spelling of 97905200 in words is "ninety-seven million, nine hundred five thousand, two hundred".