85666585 has 8 divisors (see below), whose sum is σ = 102904200. Its totient is φ = 68463744.

The previous prime is 85666561. The next prime is 85666597. The reversal of 85666585 is 58566658.

It can be written as a sum of positive squares in 4 ways, for example, as 7750656 + 77915929 = 2784^2 + 8827^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85666585 - 2⁷ = 85666457 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 2922 + ... + 13411.

It is an arithmetic number, because the mean of its divisors is an integer number (12863025).

Almost surely, 2^85666585 is an apocalyptic number.

It is an amenable number.

85666585 is a deficient number, since it is larger than the sum of its proper divisors (17237615).

85666585 is a wasteful number, since it uses less digits than its factorization.

85666585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17387.

The product of its digits is 1728000, while the sum is 49.

The square root of 85666585 is about 9255.6245062124. The cubic root of 85666585 is about 440.8293328905.

It can be divided in two parts, 8566 and 6585, that added together give a palindrome (15151).

The spelling of 85666585 in words is "eighty-five million, six hundred sixty-six thousand, five hundred eighty-five".