1338 has 8 divisors (see below), whose sum is σ = 2688. Its totient is φ = 444.

The previous prime is 1327. The next prime is 1361. The reversal of 1338 is 8331.

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

1338 is an admirable number.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 10 and base 13.

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, 106 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (336).

2¹³³⁸ is an apocalyptic number.

1338 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 (1344).

1338 is a wasteful number, since it uses less digits than its factorization.

1338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228.

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

The square root of 1338 is about 36.5786823163. The cubic root of 1338 is about 11.0192500393.

Adding to 1338 its reverse (8331), we get a palindrome (9669).

It can be divided in two parts, 133 and 8, that added together give a palindrome (141).

The spelling of 1338 in words is "one thousand, three hundred thirty-eight".