13663 has 4 divisors (see below), whose sum is σ = 14728. Its totient is φ = 12600.

The previous prime is 13649. The next prime is 13669. The reversal of 13663 is 36631.

It is a happy number.

13663 is nontrivially palindromic in base 12.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 36631 = 7 ⋅5233.

It is a cyclic number.

It is not a de Polignac number, because 13663 - 2⁹ = 13151 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13669) 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, 513 + ... + 538.

It is an arithmetic number, because the mean of its divisors is an integer number (3682).

2¹³⁶⁶³ is an apocalyptic number.

13663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13663 is a deficient number, since it is larger than the sum of its proper divisors (1065).

13663 is a wasteful number, since it uses less digits than its factorization.

13663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064.

The product of its digits is 324, while the sum is 19.

The square root of 13663 is about 116.8888360794. Note that the first 4 decimals coincide. The cubic root of 13663 is about 23.9064646413.

It can be divided in two parts, 1366 and 3, that added together give a square (1369 = 37²).

The spelling of 13663 in words is "thirteen thousand, six hundred sixty-three".