257297 has 2 divisors, whose sum is σ = 257298. Its totient is φ = 257296.

The previous prime is 257293. The next prime is 257311. The reversal of 257297 is 792752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201601 + 55696 = 449^2 + 236^2 .

It is a cyclic number.

It is not a de Polignac number, because 257297 - 2² = 257293 is a prime.

It is a nialpdrome in base 8.

It is not a weakly prime, because it can be changed into another prime (257293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128648 + 128649.

It is an arithmetic number, because the mean of its divisors is an integer number (128649).

2²⁵⁷²⁹⁷ is an apocalyptic number.

It is an amenable number.

257297 is a deficient number, since it is larger than the sum of its proper divisors (1).

257297 is an equidigital number, since it uses as much as digits as its factorization.

257297 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8820, while the sum is 32.

The square root of 257297 is about 507.2445169738. The cubic root of 257297 is about 63.6030937408.

The spelling of 257297 in words is "two hundred fifty-seven thousand, two hundred ninety-seven".