86510365 has 16 divisors (see below), whose sum is σ = 110143152. Its totient is φ = 65004544.

The previous prime is 86510327. The next prime is 86510377. The reversal of 86510365 is 56301568.

It can be written as a sum of positive squares in 8 ways, for example, as 1907161 + 84603204 = 1381^2 + 9198^2 .

It is a cyclic number.

It is not a de Polignac number, because 86510365 - 2⁹ = 86509853 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 86510365.

It is a congruent number.

It is an unprimeable number.

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, 67107 + ... + 68383.

It is an arithmetic number, because the mean of its divisors is an integer number (6883947).

Almost surely, 2^86510365 is an apocalyptic number.

86510365 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86510365 is a deficient number, since it is larger than the sum of its proper divisors (23632787).

86510365 is a wasteful number, since it uses less digits than its factorization.

86510365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 86510365 is about 9301.0948280297. The cubic root of 86510365 is about 442.2719349931.

The spelling of 86510365 in words is "eighty-six million, five hundred ten thousand, three hundred sixty-five".