85916585 has 8 divisors (see below), whose sum is σ = 103354440. Its totient is φ = 68563584.

The previous prime is 85916573. The next prime is 85916587. The reversal of 85916585 is 58561958.

It can be written as a sum of positive squares in 4 ways, for example, as 35378704 + 50537881 = 5948^2 + 7109^2 .

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 85916585 - 2¹⁰ = 85915561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85916587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18962 + ... + 23051.

It is an arithmetic number, because the mean of its divisors is an integer number (12919305).

Almost surely, 2^85916585 is an apocalyptic number.

It is an amenable number.

85916585 is a deficient number, since it is larger than the sum of its proper divisors (17437855).

85916585 is a wasteful number, since it uses less digits than its factorization.

85916585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42427.

The product of its digits is 432000, while the sum is 47.

The square root of 85916585 is about 9269.1199690154. The cubic root of 85916585 is about 441.2577391394.

The spelling of 85916585 in words is "eighty-five million, nine hundred sixteen thousand, five hundred eighty-five".