27045 has 12 divisors (see below), whose sum is σ = 46956. Its totient is φ = 14400.

The previous prime is 27043. The next prime is 27059. The reversal of 27045 is 54072.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16641 + 10404 = 129^2 + 102^2 .

It is not a de Polignac number, because 27045 - 2¹ = 27043 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27045.

It is not an unprimeable number, because it can be changed into a prime (27043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (3913).

2²⁷⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

27045 is a deficient number, since it is larger than the sum of its proper divisors (19911).

27045 is a wasteful number, since it uses less digits than its factorization.

27045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 27045 is about 164.4536408840. The cubic root of 27045 is about 30.0166574160.

The spelling of 27045 in words is "twenty-seven thousand, forty-five".