97275600 has 120 divisors (see below), whose sum is σ = 346267520. Its totient is φ = 25937280.

The previous prime is 97275593. The next prime is 97275631. The reversal of 97275600 is 657279.

97275600 is a `hidden beast` number, since 97 + 2 + 7 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6297 + ... + 15303.

Almost surely, 2^97275600 is an apocalyptic number.

97275600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97275600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173133760).

97275600 is an abundant number, since it is smaller than the sum of its proper divisors (248991920).

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

97275600 is a wasteful number, since it uses less digits than its factorization.

97275600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9034 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 97275600 is about 9862.8393477740. The cubic root of 97275600 is about 459.9048322343.

The spelling of 97275600 in words is "ninety-seven million, two hundred seventy-five thousand, six hundred".