96589585 has 16 divisors (see below), whose sum is σ = 119736144. Its totient is φ = 74760192.

The previous prime is 96589579. The next prime is 96589601. The reversal of 96589585 is 58598569.

It is a Cunningham number, because it is equal to 9828²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 96589584 = 1^2 + 9828^2 .

It is a 4-Lehmer number, since φ(96589585) divides (96589585-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 96589585 - 2⁵ = 96589553 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 16849 + ... + 21841.

It is an arithmetic number, because the mean of its divisors is an integer number (7483509).

It is a Poulet number, since it divides 2^96589584-1.

Almost surely, 2^96589585 is an apocalyptic number.

It is an amenable number.

96589585 is a deficient number, since it is larger than the sum of its proper divisors (23146559).

96589585 is a wasteful number, since it uses less digits than its factorization.

96589585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124.

The product of its digits is 3888000, while the sum is 55.

The square root of 96589585 is about 9828.0000508751. Note that the first 4 decimals coincide. The cubic root of 96589585 is about 458.8211545123.

The spelling of 96589585 in words is "ninety-six million, five hundred eighty-nine thousand, five hundred eighty-five".