10838 has 4 divisors (see below), whose sum is σ = 16260. Its totient is φ = 5418.

The previous prime is 10837. The next prime is 10847. The reversal of 10838 is 83801.

10838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 83801 = 47 ⋅1783.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2708 + ... + 2711.

It is an arithmetic number, because the mean of its divisors is an integer number (4065).

2¹⁰⁸³⁸ is an apocalyptic number.

10838 is a deficient number, since it is larger than the sum of its proper divisors (5422).

10838 is an equidigital number, since it uses as much as digits as its factorization.

10838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5421.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10838 is about 104.1057155011. The cubic root of 10838 is about 22.1300833118.

It can be divided in two parts, 10 and 838, that added together give a palindrome (848).

The spelling of 10838 in words is "ten thousand, eight hundred thirty-eight".