13506984 has 24 divisors (see below), whose sum is σ = 36581610. Its totient is φ = 4502304.

The previous prime is 13506973. The next prime is 13507009. The reversal of 13506984 is 48960531.

It can be written as a sum of positive squares in only one way, i.e., 12404484 + 1102500 = 3522^2 + 1050^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×13506984³ (a number of 22 digits) contains 333 as substring.

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 93727 + ... + 93870.

Almost surely, 2^13506984 is an apocalyptic number.

It is an amenable number.

13506984 is an abundant number, since it is smaller than the sum of its proper divisors (23074626).

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

13506984 is a wasteful number, since it uses less digits than its factorization.

13506984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187609 (or 187602 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13506984 is about 3675.1848933081. The cubic root of 13506984 is about 238.1512114904.

The spelling of 13506984 in words is "thirteen million, five hundred six thousand, nine hundred eighty-four".