800928217 has 2 divisors, whose sum is σ = 800928218. Its totient is φ = 800928216.

The previous prime is 800928179. The next prime is 800928229. The reversal of 800928217 is 712829008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 700607961 + 100320256 = 26469^2 + 10016^2 .

It is a cyclic number.

It is not a de Polignac number, because 800928217 - 2²⁷ = 666710489 is a prime.

It is not a weakly prime, because it can be changed into another prime (800928257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400464108 + 400464109.

It is an arithmetic number, because the mean of its divisors is an integer number (400464109).

Almost surely, 2^800928217 is an apocalyptic number.

It is an amenable number.

800928217 is a deficient number, since it is larger than the sum of its proper divisors (1).

800928217 is an equidigital number, since it uses as much as digits as its factorization.

800928217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 800928217 is about 28300.6752039594. The cubic root of 800928217 is about 928.6766614251.

The spelling of 800928217 in words is "eight hundred million, nine hundred twenty-eight thousand, two hundred seventeen".