13704 has 16 divisors (see below), whose sum is σ = 34320.
Its totient is φ = 4560.
The previous prime is 13697. The next prime is 13709. The reversal of 13704 is 40731.
Subtracting from 13704 its sum of digits (15), we obtain a square (13689 = 1172).
It can be divided in two parts, 13 and 704, that added together give a palindrome (717).
13704 is nontrivially palindromic in base 7.
It is a plaindrome in base 16.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13704.
It is not an unprimeable number, because it can be changed into a prime (13709) 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, 262 + ... + 309.
It is an arithmetic number, because the mean of its divisors is an integer number (2145).
213704 is an apocalyptic number.
It is an amenable number.
13704 is an abundant number, since it is smaller than the sum of its proper divisors (20616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160).
13704 is a wasteful number, since it uses less digits than its factorization.
13704 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 580 (or 576 counting only the distinct ones).
The product of its (nonzero) digits is 84, while the sum is 15.
The square root of 13704 is about 117.0640850133.
The cubic root of 13704 is about 23.9303536421.
The spelling of 13704 in words is "thirteen thousand, seven hundred four".