13821984 has 72 divisors (see below), whose sum is σ = 42889392. Its totient is φ = 4187520.

The previous prime is 13821971. The next prime is 13822007. The reversal of 13821984 is 48912831.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 987 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (595686).

Almost surely, 2^13821984 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 13821984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21444696).

13821984 is an abundant number, since it is smaller than the sum of its proper divisors (29067408).

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

13821984 is a wasteful number, since it uses less digits than its factorization.

13821984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4379 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13821984 is about 3717.7928936400. The cubic root of 13821984 is about 239.9883327662.

It can be divided in two parts, 138 and 21984, that added together give a palindrome (22122).

The spelling of 13821984 in words is "thirteen million, eight hundred twenty-one thousand, nine hundred eighty-four".