257389 has 4 divisors (see below), whose sum is σ = 280800. Its totient is φ = 233980.

The previous prime is 257381. The next prime is 257399. The reversal of 257389 is 983752.

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 257389 - 2³ = 257381 is a prime.

It is an Ulam number.

It is a Duffinian number.

257389 is a lucky number.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257381) 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 3 ways as a sum of consecutive naturals, for example, 11689 + ... + 11710.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

2²⁵⁷³⁸⁹ is an apocalyptic number.

It is an amenable number.

257389 is a deficient number, since it is larger than the sum of its proper divisors (23411).

257389 is a wasteful number, since it uses less digits than its factorization.

257389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23410.

The product of its digits is 15120, while the sum is 34.

The square root of 257389 is about 507.3351949156. The cubic root of 257389 is about 63.6106735511.

It can be divided in two parts, 2573 and 89, that added together give a palindrome (2662).

The spelling of 257389 in words is "two hundred fifty-seven thousand, three hundred eighty-nine".