812257 has 2 divisors, whose sum is σ = 812258. Its totient is φ = 812256.

The previous prime is 812249. The next prime is 812267. The reversal of 812257 is 752218.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 707281 + 104976 = 841^2 + 324^2 .

It is a cyclic number.

It is not a de Polignac number, because 812257 - 2³ = 812249 is a prime.

It is a super-2 number, since 2×812257² = 1319522868098, which contains 22 as substring.

It is equal to p₆₄₈₅₂ and since 812257 and 64852 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 (812267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406128 + 406129.

It is an arithmetic number, because the mean of its divisors is an integer number (406129).

2⁸¹²²⁵⁷ is an apocalyptic number.

It is an amenable number.

812257 is a deficient number, since it is larger than the sum of its proper divisors (1).

812257 is an equidigital number, since it uses as much as digits as its factorization.

812257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1120, while the sum is 25.

The square root of 812257 is about 901.2530166385. The cubic root of 812257 is about 93.3034754266.

The spelling of 812257 in words is "eight hundred twelve thousand, two hundred fifty-seven".