13384 has 16 divisors (see below), whose sum is σ = 28800. Its totient is φ = 5712.

The previous prime is 13381. The next prime is 13397. The reversal of 13384 is 48331.

It is a plaindrome in base 16.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (13381) 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, 64 + ... + 175.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

2¹³³⁸⁴ is an apocalyptic number.

13384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13384 is an abundant number, since it is smaller than the sum of its proper divisors (15416).

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 (14400).

13384 is a wasteful number, since it uses less digits than its factorization.

13384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 13384 is about 115.6892389118. The cubic root of 13384 is about 23.7426200524.

The spelling of 13384 in words is "thirteen thousand, three hundred eighty-four".