257017 has 2 divisors, whose sum is σ = 257018. Its totient is φ = 257016.

The previous prime is 257003. The next prime is 257053. The reversal of 257017 is 710752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 109561 = 384^2 + 331^2 .

It is a cyclic number.

It is not a de Polignac number, because 257017 - 2⁷ = 256889 is a prime.

It is not a weakly prime, because it can be changed into another prime (257077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128508 + 128509.

It is an arithmetic number, because the mean of its divisors is an integer number (128509).

2²⁵⁷⁰¹⁷ is an apocalyptic number.

It is an amenable number.

257017 is a deficient number, since it is larger than the sum of its proper divisors (1).

257017 is an equidigital number, since it uses as much as digits as its factorization.

257017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 257017 is about 506.9684408324. The cubic root of 257017 is about 63.5800136295.

Adding to 257017 its reverse (710752), we get a palindrome (967769).

The spelling of 257017 in words is "two hundred fifty-seven thousand, seventeen".