257353 has 2 divisors, whose sum is σ = 257354. Its totient is φ = 257352.

The previous prime is 257351. The next prime is 257371. The reversal of 257353 is 353752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149769 + 107584 = 387^2 + 328^2 .

It is a cyclic number.

It is not a de Polignac number, because 257353 - 2¹ = 257351 is a prime.

Together with 257351, it forms a pair of twin primes.

It is a nialpdrome in base 8.

It is not a weakly prime, because it can be changed into another prime (257351) 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, 128676 + 128677.

It is an arithmetic number, because the mean of its divisors is an integer number (128677).

2²⁵⁷³⁵³ is an apocalyptic number.

It is an amenable number.

257353 is a deficient number, since it is larger than the sum of its proper divisors (1).

257353 is an equidigital number, since it uses as much as digits as its factorization.

257353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3150, while the sum is 25.

The square root of 257353 is about 507.2997141730. The cubic root of 257353 is about 63.6077077535.

The spelling of 257353 in words is "two hundred fifty-seven thousand, three hundred fifty-three".