13741 has 8 divisors (see below), whose sum is σ = 17024. Its totient is φ = 10800.

The previous prime is 13729. The next prime is 13751. The reversal of 13741 is 14731.

13741 is nontrivially palindromic in base 6.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(13741) divides (13741-1)³.

It is a cyclic number.

It is not a de Polignac number, because 13741 - 2⁵ = 13709 is a prime.

13741 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 166.

It is an arithmetic number, because the mean of its divisors is an integer number (2128).

It is a Poulet number, since it divides 2¹³⁷⁴⁰-1.

2¹³⁷⁴¹ is an apocalyptic number.

It is an amenable number.

13741 is a deficient number, since it is larger than the sum of its proper divisors (3283).

13741 is a wasteful number, since it uses less digits than its factorization.

13741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its digits is 84, while the sum is 16.

The square root of 13741 is about 117.2220115849. Note that the first 3 decimals coincide. The cubic root of 13741 is about 23.9518711410.

Subtracting 13741 from its reverse (14731), we obtain a triangular number (990 = T₄₄).

The spelling of 13741 in words is "thirteen thousand, seven hundred forty-one".