27162 has 16 divisors (see below), whose sum is σ = 60480. Its totient is φ = 9036.

The previous prime is 27143. The next prime is 27179. The reversal of 27162 is 26172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

27162 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2²⁷¹⁶² is an apocalyptic number.

27162 is an abundant number, since it is smaller than the sum of its proper divisors (33318).

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 (30240).

27162 is a wasteful number, since it uses less digits than its factorization.

27162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 27162 is about 164.8089803378. The cubic root of 27162 is about 30.0598803984.

Subtracting from 27162 its reverse (26172), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 271 and 62, that added together give a palindrome (333).

The spelling of 27162 in words is "twenty-seven thousand, one hundred sixty-two".