838257 has 16 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 474192.

The previous prime is 838249. The next prime is 838349. The reversal of 838257 is 752838.

838257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 838257 - 2³ = 838249 is a prime.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838257.

It is not an unprimeable number, because it can be changed into a prime (838207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3648 + ... + 3870.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

2⁸³⁸²⁵⁷ is an apocalyptic number.

It is an amenable number.

838257 is a deficient number, since it is larger than the sum of its proper divisors (451983).

838257 is a wasteful number, since it uses less digits than its factorization.

838257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412.

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

The square root of 838257 is about 915.5637607507. The cubic root of 838257 is about 94.2885729817.

It can be divided in two parts, 8382 and 57, that multiplied together give a palindrome (477774).

The spelling of 838257 in words is "eight hundred thirty-eight thousand, two hundred fifty-seven".