800865281 has 2 divisors, whose sum is σ = 800865282. Its totient is φ = 800865280.

The previous prime is 800865277. The next prime is 800865283. The reversal of 800865281 is 182568008.

800865281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 755370256 + 45495025 = 27484^2 + 6745^2 .

It is a cyclic number.

It is not a de Polignac number, because 800865281 - 2² = 800865277 is a prime.

It is a super-2 number, since 2×800865281² = 1282770396622417922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 800865283, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (800865283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400432640 + 400432641.

It is an arithmetic number, because the mean of its divisors is an integer number (400432641).

Almost surely, 2^800865281 is an apocalyptic number.

It is an amenable number.

800865281 is a deficient number, since it is larger than the sum of its proper divisors (1).

800865281 is an equidigital number, since it uses as much as digits as its factorization.

800865281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 800865281 is about 28299.5632651813. The cubic root of 800865281 is about 928.6523360136.

The spelling of 800865281 in words is "eight hundred million, eight hundred sixty-five thousand, two hundred eighty-one".