13706 has 16 divisors (see below), whose sum is σ = 25920. Its totient is φ = 5280.

The previous prime is 13697. The next prime is 13709. The reversal of 13706 is 60731.

13706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

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 13706.

It is not an unprimeable number, because it can be changed into a prime (13709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2¹³⁷⁰⁶ is an apocalyptic number.

13706 is a deficient number, since it is larger than the sum of its proper divisors (12214).

13706 is a wasteful number, since it uses less digits than its factorization.

13706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 13706 is about 117.0726270313. The cubic root of 13706 is about 23.9315177397.

Subtracting from 13706 its sum of digits (17), we obtain a square (13689 = 117²).

The spelling of 13706 in words is "thirteen thousand, seven hundred six".