257838 has 24 divisors (see below), whose sum is σ = 600552. Its totient is φ = 73584.

The previous prime is 257837. The next prime is 257857. The reversal of 257838 is 838752.

Its product of digits (13440) is a multiple of the sum of its prime factors (896).

It is a Curzon number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 257799 and 257808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257837) 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 11 ways as a sum of consecutive naturals, for example, 145 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (25023).

2²⁵⁷⁸³⁸ is an apocalyptic number.

257838 is an abundant number, since it is smaller than the sum of its proper divisors (342714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257838 is a wasteful number, since it uses less digits than its factorization.

257838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 889 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 257838 is about 507.7775103330. Note that the first 3 decimals coincide. The cubic root of 257838 is about 63.6476404258.

The spelling of 257838 in words is "two hundred fifty-seven thousand, eight hundred thirty-eight".