86365201 has 8 divisors (see below), whose sum is σ = 93930984. Its totient is φ = 78931200.

The previous prime is 86365193. The next prime is 86365247. The reversal of 86365201 is 10256368.

It can be written as a sum of positive squares in 4 ways, for example, as 25150225 + 61214976 = 5015^2 + 7824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86365201 - 2³ = 86365193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86365271) 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 7 ways as a sum of consecutive naturals, for example, 31576 + ... + 34201.

It is an arithmetic number, because the mean of its divisors is an integer number (11741373).

Almost surely, 2^86365201 is an apocalyptic number.

It is an amenable number.

86365201 is a deficient number, since it is larger than the sum of its proper divisors (7565783).

86365201 is a wasteful number, since it uses less digits than its factorization.

86365201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65891.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 86365201 is about 9293.2879542173. The cubic root of 86365201 is about 442.0244197315.

The spelling of 86365201 in words is "eighty-six million, three hundred sixty-five thousand, two hundred one".