257341 has 8 divisors (see below), whose sum is σ = 297920. Its totient is φ = 217728.

The previous prime is 257339. The next prime is 257351. The reversal of 257341 is 143752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257341 - 2¹ = 257339 is a prime.

257341 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490 + ... + 868.

It is an arithmetic number, because the mean of its divisors is an integer number (37240).

2²⁵⁷³⁴¹ is an apocalyptic number.

It is an amenable number.

257341 is a deficient number, since it is larger than the sum of its proper divisors (40579).

257341 is an equidigital number, since it uses as much as digits as its factorization.

257341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483.

The product of its digits is 840, while the sum is 22.

The square root of 257341 is about 507.2878867073. The cubic root of 257341 is about 63.6067190929.

The spelling of 257341 in words is "two hundred fifty-seven thousand, three hundred forty-one".