13003984 has 20 divisors (see below), whose sum is σ = 28794784. Its totient is φ = 5573088.

The previous prime is 13003979. The next prime is 13003987. The reversal of 13003984 is 48930031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57942 + ... + 58165.

Almost surely, 2^13003984 is an apocalyptic number.

13003984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13003984 is an abundant number, since it is smaller than the sum of its proper divisors (15790800).

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

13003984 is a wasteful number, since it uses less digits than its factorization.

13003984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116122 (or 116116 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 13003984 is about 3606.1037145373. The cubic root of 13003984 is about 235.1574861070.

The spelling of 13003984 in words is "thirteen million, three thousand, nine hundred eighty-four".