257489 has 2 divisors, whose sum is σ = 257490. Its totient is φ = 257488.

The previous prime is 257473. The next prime is 257497. The reversal of 257489 is 984752.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172225 + 85264 = 415^2 + 292^2 .

It is a cyclic number.

It is not a de Polignac number, because 257489 - 2⁴ = 257473 is a prime.

It is not a weakly prime, because it can be changed into another prime (257459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128744 + 128745.

It is an arithmetic number, because the mean of its divisors is an integer number (128745).

2²⁵⁷⁴⁸⁹ is an apocalyptic number.

It is an amenable number.

257489 is a deficient number, since it is larger than the sum of its proper divisors (1).

257489 is an equidigital number, since it uses as much as digits as its factorization.

257489 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20160, while the sum is 35.

The square root of 257489 is about 507.4337395168. The cubic root of 257489 is about 63.6189104270.

The spelling of 257489 in words is "two hundred fifty-seven thousand, four hundred eighty-nine".