257003 has 2 divisors, whose sum is σ = 257004. Its totient is φ = 257002.

The previous prime is 256981. The next prime is 257017. The reversal of 257003 is 300752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257003 - 2⁶ = 256939 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257003.

It is not a weakly prime, because it can be changed into another prime (257053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128501 + 128502.

It is an arithmetic number, because the mean of its divisors is an integer number (128502).

2²⁵⁷⁰⁰³ is an apocalyptic number.

257003 is a deficient number, since it is larger than the sum of its proper divisors (1).

257003 is an equidigital number, since it uses as much as digits as its factorization.

257003 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 257003 is about 506.9546330787. The cubic root of 257003 is about 63.5788591840.

Adding to 257003 its reverse (300752), we get a palindrome (557755).

The spelling of 257003 in words is "two hundred fifty-seven thousand, three".