800897 has 2 divisors, whose sum is σ = 800898. Its totient is φ = 800896.

The previous prime is 800879. The next prime is 800903. The reversal of 800897 is 798008.

Together with previous prime (800879) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 633616 + 167281 = 796^2 + 409^2 .

It is a cyclic number.

It is not a de Polignac number, because 800897 - 2¹⁰ = 799873 is a prime.

It is not a weakly prime, because it can be changed into another prime (800497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400448 + 400449.

It is an arithmetic number, because the mean of its divisors is an integer number (400449).

2⁸⁰⁰⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

800897 is a deficient number, since it is larger than the sum of its proper divisors (1).

800897 is an equidigital number, since it uses as much as digits as its factorization.

800897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 800897 is about 894.9284887632. The cubic root of 800897 is about 92.8664595893.

The spelling of 800897 in words is "eight hundred thousand, eight hundred ninety-seven".