13643 has 4 divisors (see below), whose sum is σ = 15600. Its totient is φ = 11688.

The previous prime is 13633. The next prime is 13649. The reversal of 13643 is 34631.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 13643 - 2⁴ = 13627 is a prime.

It is a super-2 number, since 2×13643² = 372262898, which contains 22 as substring.

It is a Duffinian number.

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, 968 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (3900).

2¹³⁶⁴³ is an apocalyptic number.

13643 is a deficient number, since it is larger than the sum of its proper divisors (1957).

13643 is an equidigital number, since it uses as much as digits as its factorization.

13643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956.

The product of its digits is 216, while the sum is 17.

The square root of 13643 is about 116.8032533793. The cubic root of 13643 is about 23.8947941253.

It can be divided in two parts, 13 and 643, that added together give a palindrome (656).

The spelling of 13643 in words is "thirteen thousand, six hundred forty-three".