13983 has 8 divisors (see below), whose sum is σ = 19200. Its totient is φ = 9048.

The previous prime is 13967. The next prime is 13997. The reversal of 13983 is 38931.

13983 is digitally balanced in base 3, 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.

It is not a de Polignac number, because 13983 - 2⁴ = 13967 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (2400).

2¹³⁹⁸³ is an apocalyptic number.

13983 is a deficient number, since it is larger than the sum of its proper divisors (5217).

13983 is an equidigital number, since it uses as much as digits as its factorization.

13983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141.

The product of its digits is 648, while the sum is 24.

The square root of 13983 is about 118.2497357291. The cubic root of 13983 is about 24.0916633528.

It can be divided in two parts, 139 and 83, that added together give a palindrome (222).

The spelling of 13983 in words is "thirteen thousand, nine hundred eighty-three".