86807361121 has 8 divisors (see below), whose sum is σ = 93490916904. Its totient is φ = 80124672000.

The previous prime is 86807361083. The next prime is 86807361127. The reversal of 86807361121 is 12116370868.

86807361121 = 208335² + 208336².

It can be written as a sum of positive squares in 4 ways, for example, as 43134720721 + 43672640400 = 207689^2 + 208980^2 .

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

It is a 3-Lehmer number, since φ(86807361121) divides (86807361121-1)³.

It is a cyclic number.

It is not a de Polignac number, because 86807361121 - 2⁷ = 86807360993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86807361127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646 + ... + 416671.

It is an arithmetic number, because the mean of its divisors is an integer number (11686364613).

Almost surely, 2^86807361121 is an apocalyptic number.

86807361121 is the 208336-th centered square number.

It is an amenable number.

86807361121 is a deficient number, since it is larger than the sum of its proper divisors (6683555783).

86807361121 is a wasteful number, since it uses less digits than its factorization.

86807361121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433331.

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 86807361121 in words is "eighty-six billion, eight hundred seven million, three hundred sixty-one thousand, one hundred twenty-one".