97825600 has 42 divisors (see below), whose sum is σ = 240716054. Its totient is φ = 39129600.

The previous prime is 97825579. The next prime is 97825619. The reversal of 97825600 is 652879.

It can be written as a sum of positive squares in 3 ways, for example, as 26050816 + 71774784 = 5104^2 + 8472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 97825600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28971 + ... + 32170.

Almost surely, 2^97825600 is an apocalyptic number.

It is an amenable number.

97825600 is an abundant number, since it is smaller than the sum of its proper divisors (142890454).

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

97825600 is a wasteful number, since it uses less digits than its factorization.

97825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61163 (or 61148 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 97825600 is about 9890.6824840352. The cubic root of 97825600 is about 460.7699769855.

The spelling of 97825600 in words is "ninety-seven million, eight hundred twenty-five thousand, six hundred".