13017984 has 128 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 3569664.

The previous prime is 13017967. The next prime is 13018001. The reversal of 13017984 is 48971031.

It is an interprime number because it is at equal distance from previous prime (13017967) and next prime (13018001).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77869 + ... + 78035.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 2^13017984 is an apocalyptic number.

13017984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13017984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

13017984 is an abundant number, since it is smaller than the sum of its proper divisors (28108416).

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

13017984 is a wasteful number, since it uses less digits than its factorization.

13017984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 13017984 is about 3608.0443456255. The cubic root of 13017984 is about 235.2418454863.

The spelling of 13017984 in words is "thirteen million, seventeen thousand, nine hundred eighty-four".