13638 has 8 divisors (see below), whose sum is σ = 27288. Its totient is φ = 4544.

The previous prime is 13633. The next prime is 13649. The reversal of 13638 is 83631.

13638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

13638 is an admirable number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1131 + ... + 1142.

It is an arithmetic number, because the mean of its divisors is an integer number (3411).

2¹³⁶³⁸ is an apocalyptic number.

13638 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644).

13638 is a wasteful number, since it uses less digits than its factorization.

13638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278.

The product of its digits is 432, while the sum is 21.

The square root of 13638 is about 116.7818479045. The cubic root of 13638 is about 23.8918747144.

The spelling of 13638 in words is "thirteen thousand, six hundred thirty-eight".