6800257 has 2 divisors, whose sum is σ = 6800258. Its totient is φ = 6800256.

The previous prime is 6800251. The next prime is 6800279. The reversal of 6800257 is 7520086.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6677056 + 123201 = 2584^2 + 351^2 .

It is a cyclic number.

It is not a de Polignac number, because 6800257 - 2¹⁵ = 6767489 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (6800251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3400128 + 3400129.

It is an arithmetic number, because the mean of its divisors is an integer number (3400129).

Almost surely, 2^6800257 is an apocalyptic number.

It is an amenable number.

6800257 is a deficient number, since it is larger than the sum of its proper divisors (1).

6800257 is an equidigital number, since it uses as much as digits as its factorization.

6800257 is an odious number, because the sum of its binary digits is odd.

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

The square root of 6800257 is about 2607.7302391160. The cubic root of 6800257 is about 189.4560341516.

The spelling of 6800257 in words is "six million, eight hundred thousand, two hundred fifty-seven".