806257 has 2 divisors, whose sum is σ = 806258. Its totient is φ = 806256.

The previous prime is 806233. The next prime is 806261. The reversal of 806257 is 752608.

806257 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., 456976 + 349281 = 676^2 + 591^2 .

It is a cyclic number.

It is not a de Polignac number, because 806257 - 2⁷ = 806129 is a prime.

It is not a weakly prime, because it can be changed into another prime (806297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403128 + 403129.

It is an arithmetic number, because the mean of its divisors is an integer number (403129).

2⁸⁰⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

806257 is a deficient number, since it is larger than the sum of its proper divisors (1).

806257 is an equidigital number, since it uses as much as digits as its factorization.

806257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 806257 is about 897.9181477173. The cubic root of 806257 is about 93.0731686107.

The spelling of 806257 in words is "eight hundred six thousand, two hundred fifty-seven".