13533984 has 36 divisors (see below), whose sum is σ = 38488086. Its totient is φ = 4511232.

The previous prime is 13533983. The next prime is 13533991. The reversal of 13533984 is 48933531.

It can be written as a sum of positive squares in only one way, i.e., 13395600 + 138384 = 3660^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13533983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23209 + ... + 23784.

Almost surely, 2^13533984 is an apocalyptic number.

It is an amenable number.

13533984 is an abundant number, since it is smaller than the sum of its proper divisors (24954102).

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

13533984 is a wasteful number, since it uses less digits than its factorization.

13533984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47009 (or 46998 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13533984 is about 3678.8563440287. The cubic root of 13533984 is about 238.3097912532.

The spelling of 13533984 in words is "thirteen million, five hundred thirty-three thousand, nine hundred eighty-four".