13854 has 8 divisors (see below), whose sum is σ = 27720. Its totient is φ = 4616.

The previous prime is 13841. The next prime is 13859. The reversal of 13854 is 45831.

Added to its reverse (45831) it gives a triangular number (59685 = T₃₄₅).

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

13854 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 13854.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13859) 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, 1149 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (3465).

2¹³⁸⁵⁴ is an apocalyptic number.

13854 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (13860).

13854 is a wasteful number, since it uses less digits than its factorization.

13854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314.

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

The square root of 13854 is about 117.7030161041. The cubic root of 13854 is about 24.0173485676.

Adding to 13854 its reverse (45831), we get a triangular number (59685 = T₃₄₅).

The spelling of 13854 in words is "thirteen thousand, eight hundred fifty-four".