6257 has 2 divisors, whose sum is σ = 6258. Its totient is φ = 6256.

The previous prime is 6247. The next prime is 6263. The reversal of 6257 is 7526.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6241 + 16 = 79^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 6257 - 2¹⁰ = 5233 is a prime.

It is a Chen prime.

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 9.

It is not a weakly prime, because it can be changed into another prime (6217) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3128 + 3129.

It is an arithmetic number, because the mean of its divisors is an integer number (3129).

2⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

6257 is a deficient number, since it is larger than the sum of its proper divisors (1).

6257 is an equidigital number, since it uses as much as digits as its factorization.

6257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 420, while the sum is 20.

The square root of 6257 is about 79.1012010023. The cubic root of 6257 is about 18.4270317862.

The spelling of 6257 in words is "six thousand, two hundred fifty-seven".