19827 has 6 divisors (see below), whose sum is σ = 28652. Its totient is φ = 13212.

The previous prime is 19819. The next prime is 19841. The reversal of 19827 is 72891.

It is not a de Polignac number, because 19827 - 2³ = 19819 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19827.

It is not an unprimeable number, because it can be changed into a prime (19867) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1093 + ... + 1110.

2¹⁹⁸²⁷ is an apocalyptic number.

19827 is a deficient number, since it is larger than the sum of its proper divisors (8825).

19827 is a wasteful number, since it uses less digits than its factorization.

19827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2206 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 19827 is about 140.8083804324. The cubic root of 19827 is about 27.0656837011.

It can be divided in two parts, 198 and 27, that added together give a square (225 = 15²).

The spelling of 19827 in words is "nineteen thousand, eight hundred twenty-seven".