257249 has 2 divisors, whose sum is σ = 257250. Its totient is φ = 257248.

The previous prime is 257239. The next prime is 257263. The reversal of 257249 is 942752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208849 + 48400 = 457^2 + 220^2 .

It is a cyclic number.

It is not a de Polignac number, because 257249 - 2¹² = 253153 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is an Ulam number.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (257219) 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, 128624 + 128625.

It is an arithmetic number, because the mean of its divisors is an integer number (128625).

2²⁵⁷²⁴⁹ is an apocalyptic number.

It is an amenable number.

257249 is a deficient number, since it is larger than the sum of its proper divisors (1).

257249 is an equidigital number, since it uses as much as digits as its factorization.

257249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 29.

The square root of 257249 is about 507.1972003077. The cubic root of 257249 is about 63.5991383399.

The spelling of 257249 in words is "two hundred fifty-seven thousand, two hundred forty-nine".