97542585 has 72 divisors (see below), whose sum is σ = 203164416. Its totient is φ = 43122240.

The previous prime is 97542547. The next prime is 97542593. The reversal of 97542585 is 58524579.

It is not a de Polignac number, because 97542585 - 2⁸ = 97542329 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 self number, because there is not a number n which added to its sum of digits gives 97542585.

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 71 ways as a sum of consecutive naturals, for example, 67642 + ... + 69068.

It is an arithmetic number, because the mean of its divisors is an integer number (2821728).

Almost surely, 2^97542585 is an apocalyptic number.

It is an amenable number.

97542585 is an abundant number, since it is smaller than the sum of its proper divisors (105621831).

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

97542585 is a wasteful number, since it uses less digits than its factorization.

97542585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1473 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 97542585 is about 9876.3649689549. The cubic root of 97542585 is about 460.3252032463.

The spelling of 97542585 in words is "ninety-seven million, five hundred forty-two thousand, five hundred eighty-five".