97065585 has 48 divisors (see below), whose sum is σ = 178925760. Its totient is φ = 48539520.

The previous prime is 97065571. The next prime is 97065587. The reversal of 97065585 is 58556079.

97065585 = 153² + 154² + ... + 665².

97065585 is a `hidden beast` number, since 9 + 7 + 0 + 65 + 585 = 666.

It is not a de Polignac number, because 97065585 - 2¹³ = 97057393 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 97065585.

It is not an unprimeable number, because it can be changed into a prime (97065587) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 90955 + ... + 92015.

It is an arithmetic number, because the mean of its divisors is an integer number (3727620).

Almost surely, 2^97065585 is an apocalyptic number.

97065585 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

97065585 is a deficient number, since it is larger than the sum of its proper divisors (81860175).

97065585 is a wasteful number, since it uses less digits than its factorization.

97065585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 97065585 is about 9852.1868130888. The cubic root of 97065585 is about 459.5736203435.

The spelling of 97065585 in words is "ninety-seven million, sixty-five thousand, five hundred eighty-five".