13827 has 8 divisors (see below), whose sum is σ = 20160. Its totient is φ = 8360.

The previous prime is 13807. The next prime is 13829. The reversal of 13827 is 72831.

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

It is not a de Polignac number, because 13827 - 2⁶ = 13763 is a prime.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13829) 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, 177 + ... + 242.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2¹³⁸²⁷ is an apocalyptic number.

13827 is a deficient number, since it is larger than the sum of its proper divisors (6333).

13827 is a wasteful number, since it uses less digits than its factorization.

13827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433.

The product of its digits is 336, while the sum is 21.

The square root of 13827 is about 117.5882647206. The cubic root of 13827 is about 24.0017359855.

It can be divided in two parts, 1 and 3827, that added together give a triangular number (3828 = T₈₇).

The spelling of 13827 in words is "thirteen thousand, eight hundred twenty-seven".