13845 has 16 divisors (see below), whose sum is σ = 24192. Its totient is φ = 6720.

The previous prime is 13841. The next prime is 13859. The reversal of 13845 is 54831.

13845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13845 - 2² = 13841 is a prime.

It is a Curzon number.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 160 + ... + 230.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2¹³⁸⁴⁵ is an apocalyptic number.

13845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13845 is a deficient number, since it is larger than the sum of its proper divisors (10347).

13845 is a wasteful number, since it uses less digits than its factorization.

13845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92.

The product of its digits is 480, while the sum is 21.

The square root of 13845 is about 117.6647780774. The cubic root of 13845 is about 24.0121466292.

Subtracting from 13845 its sum of digits (21), we obtain a cube (13824 = 24³).

It can be divided in two parts, 13 and 845, that added together give a palindrome (858).

The spelling of 13845 in words is "thirteen thousand, eight hundred forty-five".