16827 has 8 divisors (see below), whose sum is σ = 23040. Its totient is φ = 10920.

The previous prime is 16823. The next prime is 16829. The reversal of 16827 is 72861.

16827 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 16827 - 2² = 16823 is a prime.

It is an Ulam number.

16827 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 16797 and 16806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16823) 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, 174 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2¹⁶⁸²⁷ is an apocalyptic number.

16827 is a deficient number, since it is larger than the sum of its proper divisors (6213).

16827 is an equidigital number, since it uses as much as digits as its factorization.

16827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153.

The product of its digits is 672, while the sum is 24.

The square root of 16827 is about 129.7189269151. The cubic root of 16827 is about 25.6252964471.

The spelling of 16827 in words is "sixteen thousand, eight hundred twenty-seven".