13641 has 4 divisors (see below), whose sum is σ = 18192. Its totient is φ = 9092.

The previous prime is 13633. The next prime is 13649. The reversal of 13641 is 14631.

13641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 14631 = 3 ⋅4877.

It is an interprime number because it is at equal distance from previous prime (13633) and next prime (13649).

It is a cyclic number.

It is not a de Polignac number, because 13641 - 2³ = 13633 is a prime.

It is a D-number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13641.

It is not an unprimeable number, because it can be changed into a prime (13649) 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, 2271 + ... + 2276.

It is an arithmetic number, because the mean of its divisors is an integer number (4548).

2¹³⁶⁴¹ is an apocalyptic number.

It is an amenable number.

13641 is a deficient number, since it is larger than the sum of its proper divisors (4551).

13641 is an equidigital number, since it uses as much as digits as its factorization.

13641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550.

The product of its digits is 72, while the sum is 15.

The square root of 13641 is about 116.7946916602. The cubic root of 13641 is about 23.8936264466.

Subtracting 13641 from its reverse (14631), we obtain a triangular number (990 = T₄₄).

The spelling of 13641 in words is "thirteen thousand, six hundred forty-one".