257849 has 8 divisors (see below), whose sum is σ = 278880. Its totient is φ = 237600.

The previous prime is 257837. The next prime is 257857. The reversal of 257849 is 948752.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257849 is a prime.

It is a super-2 number, since 2×257849² = 132972213602, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257869) 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, 614 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (34860).

2²⁵⁷⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

257849 is a deficient number, since it is larger than the sum of its proper divisors (21031).

257849 is a wasteful number, since it uses less digits than its factorization.

257849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391.

The product of its digits is 20160, while the sum is 35.

The square root of 257849 is about 507.7883417330. The cubic root of 257849 is about 63.6485455343.

The spelling of 257849 in words is "two hundred fifty-seven thousand, eight hundred forty-nine".