16338 has 16 divisors (see below), whose sum is σ = 37440. Its totient is φ = 4656.

The previous prime is 16333. The next prime is 16339. The reversal of 16338 is 83361.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (16333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

2¹⁶³³⁸ is an apocalyptic number.

16338 is an abundant number, since it is smaller than the sum of its proper divisors (21102).

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 (18720).

16338 is a wasteful number, since it uses less digits than its factorization.

16338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

The product of its digits is 432, while the sum is 21.

The square root of 16338 is about 127.8201861992. The cubic root of 16338 is about 25.3746248741.

Adding to 16338 its reverse (83361), we get a palindrome (99699).

The spelling of 16338 in words is "sixteen thousand, three hundred thirty-eight".