802817681 has 2 divisors, whose sum is σ = 802817682. Its totient is φ = 802817680.

The previous prime is 802817641. The next prime is 802817689. The reversal of 802817681 is 186718208.

802817681 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., 534349456 + 268468225 = 23116^2 + 16385^2 .

It is a cyclic number.

It is not a de Polignac number, because 802817681 - 2²⁶ = 735708817 is a prime.

It is a super-2 number, since 2×802817681² = 1289032457852435522, which contains 22 as substring.

It is equal to p_41283599 and since 802817681 and 41283599 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (802817689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401408840 + 401408841.

It is an arithmetic number, because the mean of its divisors is an integer number (401408841).

Almost surely, 2^802817681 is an apocalyptic number.

It is an amenable number.

802817681 is a deficient number, since it is larger than the sum of its proper divisors (1).

802817681 is an equidigital number, since it uses as much as digits as its factorization.

802817681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43008, while the sum is 41.

The square root of 802817681 is about 28334.0374990929. The cubic root of 802817681 is about 929.4063660576.

The spelling of 802817681 in words is "eight hundred two million, eight hundred seventeen thousand, six hundred eighty-one".