807981165 has 12 divisors (see below), whose sum is σ = 1400500764. Its totient is φ = 430923264.

The previous prime is 807981143. The next prime is 807981169. The reversal of 807981165 is 561189708.

It can be written as a sum of positive squares in 2 ways, for example, as 227074761 + 580906404 = 15069^2 + 24102^2 .

It is not a de Polignac number, because 807981165 - 2⁵ = 807981133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 17955137 = 807981165 / (8 + 0 + 7 + 9 + 8 + 1 + 1 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 807981165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807981169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8977524 + ... + 8977613.

It is an arithmetic number, because the mean of its divisors is an integer number (116708397).

Almost surely, 2^807981165 is an apocalyptic number.

It is an amenable number.

807981165 is a deficient number, since it is larger than the sum of its proper divisors (592519599).

807981165 is a wasteful number, since it uses less digits than its factorization.

807981165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17955148 (or 17955145 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 807981165 is about 28425.0094986792. The cubic root of 807981165 is about 931.3946643120.

The spelling of 807981165 in words is "eight hundred seven million, nine hundred eighty-one thousand, one hundred sixty-five".