13705 has 4 divisors (see below), whose sum is σ = 16452. Its totient is φ = 10960.

The previous prime is 13697. The next prime is 13709. The reversal of 13705 is 50731.

13705 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50731 = 97 ⋅523.

It can be written as a sum of positive squares in 2 ways, for example, as 4489 + 9216 = 67^2 + 96^2 .

It is not a de Polignac number, because 13705 - 2³ = 13697 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

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 3 ways as a sum of consecutive naturals, for example, 1366 + ... + 1375.

It is an arithmetic number, because the mean of its divisors is an integer number (4113).

2¹³⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

13705 is a deficient number, since it is larger than the sum of its proper divisors (2747).

13705 is an equidigital number, since it uses as much as digits as its factorization.

13705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 13705 is about 117.0683561002. The cubic root of 13705 is about 23.9309357050.

Subtracting from 13705 its sum of digits (16), we obtain a square (13689 = 117²).

The spelling of 13705 in words is "thirteen thousand, seven hundred five".