97353360225 has 243 divisors, whose sum is σ = 201345661881. Its totient is φ = 44930160000.

The previous prime is 97353360211. The next prime is 97353360329. The reversal of 97353360225 is 52206335379.

The square root of 97353360225 is 312015.

It is a perfect power (a square), and thus also a powerful number.

97353360225 is a `hidden beast` number, since 9 + 7 + 3 + 5 + 33 + 602 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44842721121 + 52510639104 = 211761^2 + 229152^2 .

It is a de Polignac number, because none of the positive numbers 2^k-97353360225 is a prime.

It is a super-2 number, since 2×97353360225² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1595956695 + ... + 1595956755.

Almost surely, 2^97353360225 is an apocalyptic number.

97353360225 is the 312015-th square number.

97353360225 is the 156008-th centered octagonal number.

It is an amenable number.

97353360225 is an abundant number, since it is smaller than the sum of its proper divisors (103992301656).

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

97353360225 is a wasteful number, since it uses less digits than its factorization.

97353360225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 97353360225 in words is "ninety-seven billion, three hundred fifty-three million, three hundred sixty thousand, two hundred twenty-five".