86086585 has 32 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 60031488.

The previous prime is 86086579. The next prime is 86086591. The reversal of 86086585 is 58568068.

It is an interprime number because it is at equal distance from previous prime (86086579) and next prime (86086591).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-86086585 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 31 ways as a sum of consecutive naturals, for example, 132732 + ... + 133378.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2^86086585 is an apocalyptic number.

It is an amenable number.

86086585 is a deficient number, since it is larger than the sum of its proper divisors (31486535).

86086585 is a wasteful number, since it uses less digits than its factorization.

86086585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777.

The product of its (nonzero) digits is 460800, while the sum is 46.

The square root of 86086585 is about 9278.2856713943. The cubic root of 86086585 is about 441.5485809067.

The spelling of 86086585 in words is "eighty-six million, eighty-six thousand, five hundred eighty-five".