13884 has 24 divisors (see below), whose sum is σ = 35280. Its totient is φ = 4224.

The previous prime is 13883. The next prime is 13901. The reversal of 13884 is 48831.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13883) 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, 112 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (1470).

2¹³⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640).

13884 is an abundant number, since it is smaller than the sum of its proper divisors (21396).

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

13884 is a wasteful number, since it uses less digits than its factorization.

13884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 13884 is about 117.8303865732. The cubic root of 13884 is about 24.0346721083.

It can be divided in two parts, 138 and 84, that added together give a palindrome (222).

The spelling of 13884 in words is "thirteen thousand, eight hundred eighty-four".