97955325 has 90 divisors (see below), whose sum is σ = 198660462. Its totient is φ = 47433600.

The previous prime is 97955311. The next prime is 97955327. The reversal of 97955325 is 52355979.

97955325 = 116³ + 117³ + ... + 154³.

97955325 is a `hidden beast` number, since 9 + 79 + 553 + 25 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 92563641 + 5391684 = 9621^2 + 2322^2 .

It is not a de Polignac number, because 97955325 - 2⁶ = 97955261 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97955327) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 1605795 + ... + 1605855.

Almost surely, 2^97955325 is an apocalyptic number.

It is an amenable number.

97955325 is an abundant number, since it is smaller than the sum of its proper divisors (100705137).

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

97955325 is a wasteful number, since it uses less digits than its factorization.

97955325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 82 counting only the distinct ones).

The product of its digits is 425250, while the sum is 45.

The square root of 97955325 is about 9897.2382511487. The cubic root of 97955325 is about 460.9735603120.

The spelling of 97955325 in words is "ninety-seven million, nine hundred fifty-five thousand, three hundred twenty-five".