86166585 has 24 divisors (see below), whose sum is σ = 154889280. Its totient is φ = 45954864.

The previous prime is 86166559. The next prime is 86166617. The reversal of 86166585 is 58566168.

86166585 is a `hidden beast` number, since 8 + 6 + 1 + 66 + 585 = 666.

It is not a de Polignac number, because 86166585 - 2¹⁰ = 86165561 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 86166585.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34245 + ... + 36674.

It is an arithmetic number, because the mean of its divisors is an integer number (6453720).

Almost surely, 2^86166585 is an apocalyptic number.

It is an amenable number.

86166585 is a deficient number, since it is larger than the sum of its proper divisors (68722695).

86166585 is an equidigital number, since it uses as much as digits as its factorization.

86166585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70939 (or 70927 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 86166585 is about 9282.5958115174. The cubic root of 86166585 is about 441.6853151416.

The spelling of 86166585 in words is "eighty-six million, one hundred sixty-six thousand, five hundred eighty-five".