13848 has 16 divisors (see below), whose sum is σ = 34680. Its totient is φ = 4608.

The previous prime is 13841. The next prime is 13859. The reversal of 13848 is 84831.

13848 is nontrivially palindromic in base 11.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 577 = 13848 / (1 + 3 + 8 + 4 + 8).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam 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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 265 + ... + 312.

It is an amenable number.

13848 is an abundant number, since it is smaller than the sum of its proper divisors (20832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340).

13848 is a wasteful number, since it uses less digits than its factorization.

13848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 13848 is about 117.6775254668. The cubic root of 13848 is about 24.0138808591.

Subtracting from 13848 its sum of digits (24), we obtain a cube (13824 = 24³).

It can be divided in two parts, 13 and 848, that added together give a triangular number (861 = T₄₁).

The spelling of 13848 in words is "thirteen thousand, eight hundred forty-eight".