257417 has 4 divisors (see below), whose sum is σ = 261840. Its totient is φ = 252996.

The previous prime is 257407. The next prime is 257437. The reversal of 257417 is 714752.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 257417 - 2⁴ = 257401 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257417.

It is not an unprimeable number, because it can be changed into a prime (257407) 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 in 3 ways as a sum of consecutive naturals, for example, 2123 + ... + 2240.

It is an arithmetic number, because the mean of its divisors is an integer number (65460).

2²⁵⁷⁴¹⁷ is an apocalyptic number.

It is an amenable number.

257417 is a deficient number, since it is larger than the sum of its proper divisors (4423).

257417 is an equidigital number, since it uses as much as digits as its factorization.

257417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422.

The product of its digits is 1960, while the sum is 26.

The square root of 257417 is about 507.3627893332. The cubic root of 257417 is about 63.6129800914.

The spelling of 257417 in words is "two hundred fifty-seven thousand, four hundred seventeen".