27195 has 24 divisors (see below), whose sum is σ = 51984. Its totient is φ = 12096.

The previous prime is 27191. The next prime is 27197. The reversal of 27195 is 59172.

27195 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 27195 - 2² = 27191 is a prime.

27195 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (27191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717 + ... + 753.

It is an arithmetic number, because the mean of its divisors is an integer number (2166).

2²⁷¹⁹⁵ is an apocalyptic number.

27195 is a deficient number, since it is larger than the sum of its proper divisors (24789).

27195 is a wasteful number, since it uses less digits than its factorization.

27195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 52 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 27195 is about 164.9090658515. The cubic root of 27195 is about 30.0720490482.

Subtracting from 27195 its product of digits (630), we obtain a triangular number (26565 = T₂₃₀).

It can be divided in two parts, 27 and 195, that added together give a palindrome (222).

The spelling of 27195 in words is "twenty-seven thousand, one hundred ninety-five".