86456313 has 6 divisors (see below), whose sum is σ = 124881354. Its totient is φ = 57637536.

The previous prime is 86456269. The next prime is 86456329. The reversal of 86456313 is 31365468.

86456313 is a `hidden beast` number, since 8 + 645 + 6 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65415744 + 21040569 = 8088^2 + 4587^2 .

It is not a de Polignac number, because 86456313 - 2¹⁰ = 86455289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86456353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4803120 + ... + 4803137.

It is an arithmetic number, because the mean of its divisors is an integer number (20813559).

Almost surely, 2^86456313 is an apocalyptic number.

It is an amenable number.

86456313 is a deficient number, since it is larger than the sum of its proper divisors (38425041).

86456313 is a wasteful number, since it uses less digits than its factorization.

86456313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606263 (or 9606260 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 86456313 is about 9298.1886945792. The cubic root of 86456313 is about 442.1798047490.

The spelling of 86456313 in words is "eighty-six million, four hundred fifty-six thousand, three hundred thirteen".