10338 has 8 divisors (see below), whose sum is σ = 20688. Its totient is φ = 3444.

The previous prime is 10337. The next prime is 10343. The reversal of 10338 is 83301.

10338 is nontrivially palindromic in base 8.

It is a sphenic number, since it is the product of 3 distinct primes.

10338 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (10331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 856 + ... + 867.

It is an arithmetic number, because the mean of its divisors is an integer number (2586).

2¹⁰³³⁸ is an apocalyptic number.

10338 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10344).

10338 is a wasteful number, since it uses less digits than its factorization.

10338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10338 is about 101.6759558598. The cubic root of 10338 is about 21.7843953080.

Adding to 10338 its reverse (83301), we get a palindrome (93639).

It can be divided in two parts, 103 and 38, that added together give a palindrome (141).

The spelling of 10338 in words is "ten thousand, three hundred thirty-eight".