86181007 has 16 divisors (see below), whose sum is σ = 100963584. Its totient is φ = 72688000.

The previous prime is 86181001. The next prime is 86181019. The reversal of 86181007 is 70018168.

It is not a de Polignac number, because 86181007 - 2⁷ = 86180879 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86181007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86181001) 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 15 ways as a sum of consecutive naturals, for example, 10032 + ... + 16522.

It is an arithmetic number, because the mean of its divisors is an integer number (6310224).

Almost surely, 2^86181007 is an apocalyptic number.

86181007 is a deficient number, since it is larger than the sum of its proper divisors (14782577).

86181007 is a wasteful number, since it uses less digits than its factorization.

86181007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590.

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 86181007 is about 9283.3726091330. The cubic root of 86181007 is about 441.7099559009.

The spelling of 86181007 in words is "eighty-six million, one hundred eighty-one thousand, seven".