257349 has 8 divisors (see below), whose sum is σ = 346720. Its totient is φ = 169776.

The previous prime is 257339. The next prime is 257351. The reversal of 257349 is 943752.

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

It is not a de Polignac number, because 257349 - 2⁷ = 257221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257339) 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 7 ways as a sum of consecutive naturals, for example, 67 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (43340).

2²⁵⁷³⁴⁹ is an apocalyptic number.

It is an amenable number.

257349 is a deficient number, since it is larger than the sum of its proper divisors (89371).

257349 is a wasteful number, since it uses less digits than its factorization.

257349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899.

The product of its digits is 7560, while the sum is 30.

The square root of 257349 is about 507.2957717151. The cubic root of 257349 is about 63.6073782034.

It can be divided in two parts, 257 and 349, that added together give a palindrome (606).

The spelling of 257349 in words is "two hundred fifty-seven thousand, three hundred forty-nine".