13647 has 4 divisors (see below), whose sum is σ = 18200. Its totient is φ = 9096.

The previous prime is 13633. The next prime is 13649. The reversal of 13647 is 74631.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 74631 = 3 ⋅24877.

It is not a de Polignac number, because 13647 - 2¹² = 9551 is a prime.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13647.

It is not an unprimeable number, because it can be changed into a prime (13649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2272 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (4550).

2¹³⁶⁴⁷ is an apocalyptic number.

13647 is a deficient number, since it is larger than the sum of its proper divisors (4553).

13647 is an equidigital number, since it uses as much as digits as its factorization.

13647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552.

The product of its digits is 504, while the sum is 21.

The square root of 13647 is about 116.8203749352. The cubic root of 13647 is about 23.8971291405.

The spelling of 13647 in words is "thirteen thousand, six hundred forty-seven".