86186385 has 12 divisors (see below), whose sum is σ = 149389812. Its totient is φ = 45966048.

The previous prime is 86186381. The next prime is 86186423. The reversal of 86186385 is 58368168.

86186385 is a `hidden beast` number, since 8 + 6 + 1 + 8 + 638 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65173329 + 21013056 = 8073^2 + 4584^2 .

It is not a de Polignac number, because 86186385 - 2² = 86186381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1915253 = 86186385 / (8 + 6 + 1 + 8 + 6 + 3 + 8 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86186385.

It is not an unprimeable number, because it can be changed into a prime (86186381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957582 + ... + 957671.

It is an arithmetic number, because the mean of its divisors is an integer number (12449151).

Almost surely, 2^86186385 is an apocalyptic number.

It is an amenable number.

86186385 is a deficient number, since it is larger than the sum of its proper divisors (63203427).

86186385 is a wasteful number, since it uses less digits than its factorization.

86186385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915264 (or 1915261 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 86186385 is about 9283.6622622756. The cubic root of 86186385 is about 441.7191437982.

The spelling of 86186385 in words is "eighty-six million, one hundred eighty-six thousand, three hundred eighty-five".