8338 has 8 divisors (see below), whose sum is σ = 13680. Its totient is φ = 3780.

The previous prime is 8329. The next prime is 8353.

8338 is nontrivially palindromic in base 10.

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

It is a Harshad number since it is a multiple of its sum of digits (22), and also a Moran number because the ratio is a prime number: 379 = 8338 / (8 + 3 + 3 + 8).

It is an Ulam number.

It is a plaindrome in base 12.

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168 + ... + 211.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2⁸³³⁸ is an apocalyptic number.

8338 is a deficient number, since it is larger than the sum of its proper divisors (5342).

8338 is a wasteful number, since it uses less digits than its factorization.

8338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

The product of its digits is 576, while the sum is 22.

The square root of 8338 is about 91.3126497261. The cubic root of 8338 is about 20.2777904269.

It can be divided in two parts, 833 and 8, that added together give a square (841 = 29²).

The spelling of 8338 in words is "eight thousand, three hundred thirty-eight".