12838 has 12 divisors (see below), whose sum is σ = 22572. Its totient is φ = 5460.

The previous prime is 12829. The next prime is 12841. The reversal of 12838 is 83821.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (1881).

2¹²⁸³⁸ is an apocalyptic number.

12838 is a deficient number, since it is larger than the sum of its proper divisors (9734).

12838 is a wasteful number, since it uses less digits than its factorization.

12838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 12838 is about 113.3048983937. The cubic root of 12838 is about 23.4152675098.

The spelling of 12838 in words is "twelve thousand, eight hundred thirty-eight".