13735 has 8 divisors (see below), whose sum is σ = 17136. Its totient is φ = 10560.

The previous prime is 13729. The next prime is 13751. The reversal of 13735 is 53731.

13735 = T₁₄ + T₁₅ + ... + T₄₃.

13735 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 a de Polignac number, because none of the positive numbers 2^k-13735 is a prime.

It is a super-3 number, since 3×13735³ = 7773332521125, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172 + ... + 238.

It is an arithmetic number, because the mean of its divisors is an integer number (2142).

2¹³⁷³⁵ is an apocalyptic number.

13735 is a deficient number, since it is larger than the sum of its proper divisors (3401).

13735 is an equidigital number, since it uses as much as digits as its factorization.

13735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113.

The product of its digits is 315, while the sum is 19.

The square root of 13735 is about 117.1964163275. The cubic root of 13735 is about 23.9483844430.

It can be divided in two parts, 1373 and 5, that added together give a triangular number (1378 = T₅₂).

The spelling of 13735 in words is "thirteen thousand, seven hundred thirty-five".