13333984 has 48 divisors (see below), whose sum is σ = 28159488. Its totient is φ = 6193152.

The previous prime is 13333981. The next prime is 13334011. The reversal of 13333984 is 48933331.

It is a super-4 number, since 4×13333984⁴ (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68992 + ... + 69184.

It is an arithmetic number, because the mean of its divisors is an integer number (586656).

Almost surely, 2^13333984 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 13333984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079744).

13333984 is an abundant number, since it is smaller than the sum of its proper divisors (14825504).

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

13333984 is a wasteful number, since it uses less digits than its factorization.

13333984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 13333984 is about 3651.5728118168. The cubic root of 13333984 is about 237.1300774898.

The spelling of 13333984 in words is "thirteen million, three hundred thirty-three thousand, nine hundred eighty-four".