27189 has 16 divisors (see below), whose sum is σ = 43200. Its totient is φ = 16848.

The previous prime is 27179. The next prime is 27191. The reversal of 27189 is 98172.

It is not a de Polignac number, because 27189 - 2⁷ = 27061 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

27189 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2²⁷¹⁸⁹ is an apocalyptic number.

It is an amenable number.

27189 is a deficient number, since it is larger than the sum of its proper divisors (16011).

27189 is a wasteful number, since it uses less digits than its factorization.

27189 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

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

The square root of 27189 is about 164.8908730039. The cubic root of 27189 is about 30.0698372989.

It can be divided in two parts, 27 and 189, that added together give a cube (216 = 6³).

The spelling of 27189 in words is "twenty-seven thousand, one hundred eighty-nine".