86085873 has 12 divisors (see below), whose sum is σ = 125744580. Its totient is φ = 56745216.

The previous prime is 86085859. The next prime is 86085889. The reversal of 86085873 is 37858068.

86085873 is a `hidden beast` number, since 8 + 60 + 8 + 587 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14311089 + 71774784 = 3783^2 + 8472^2 .

It is not a de Polignac number, because 86085873 - 2⁶ = 86085809 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (86085893) 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, 52936 + ... + 54537.

It is an arithmetic number, because the mean of its divisors is an integer number (10478715).

Almost surely, 2^86085873 is an apocalyptic number.

It is an amenable number.

86085873 is a deficient number, since it is larger than the sum of its proper divisors (39658707).

86085873 is a wasteful number, since it uses less digits than its factorization.

86085873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107568 (or 107565 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 86085873 is about 9278.2473021579. The cubic root of 86085873 is about 441.5473635918.

The spelling of 86085873 in words is "eighty-six million, eighty-five thousand, eight hundred seventy-three".