86895201 has 16 divisors (see below), whose sum is σ = 120124928. Its totient is φ = 55814400.

The previous prime is 86895191. The next prime is 86895233. The reversal of 86895201 is 10259868.

It is not a de Polignac number, because 86895201 - 2⁵ = 86895169 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 86895201.

It is not an unprimeable number, because it can be changed into a prime (86895241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20475 + ... + 24351.

It is an arithmetic number, because the mean of its divisors is an integer number (7507808).

Almost surely, 2^86895201 is an apocalyptic number.

It is an amenable number.

86895201 is a deficient number, since it is larger than the sum of its proper divisors (33229727).

86895201 is a wasteful number, since it uses less digits than its factorization.

86895201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152.

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 86895201 is about 9321.7595442062. The cubic root of 86895201 is about 442.9267713869.

It can be divided in two parts, 868 and 95201, that added together give a palindrome (96069).

The spelling of 86895201 in words is "eighty-six million, eight hundred ninety-five thousand, two hundred one".