13745 has 4 divisors (see below), whose sum is σ = 16500. Its totient is φ = 10992.

The previous prime is 13729. The next prime is 13751. The reversal of 13745 is 54731.

It is a happy number.

13745 is nontrivially palindromic in base 3.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 54731 = 229 ⋅239.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 10609 = 56^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 13745 - 2⁴ = 13729 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1370 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (4125).

2¹³⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

13745 is a deficient number, since it is larger than the sum of its proper divisors (2755).

13745 is an equidigital number, since it uses as much as digits as its factorization.

13745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754.

The product of its digits is 420, while the sum is 20.

The square root of 13745 is about 117.2390719854. The cubic root of 13745 is about 23.9541950424.

The spelling of 13745 in words is "thirteen thousand, seven hundred forty-five".