13849 has 4 divisors (see below), whose sum is σ = 15120. Its totient is φ = 12580.

The previous prime is 13841. The next prime is 13859. The reversal of 13849 is 94831.

13849 is digitally balanced in base 2, because in such base 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 a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13849 - 2³ = 13841 is a prime.

It is a Duffinian number.

13849 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (13841) 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, 619 + ... + 640.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2¹³⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

13849 is a deficient number, since it is larger than the sum of its proper divisors (1271).

13849 is a wasteful number, since it uses less digits than its factorization.

13849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270.

The product of its digits is 864, while the sum is 25.

The square root of 13849 is about 117.6817742898. The cubic root of 13849 is about 24.0144588800.

Subtracting from 13849 its sum of digits (25), we obtain a cube (13824 = 24³).

The spelling of 13849 in words is "thirteen thousand, eight hundred forty-nine".