27645 has 16 divisors (see below), whose sum is σ = 47040. Its totient is φ = 13824.

The previous prime is 27631. The next prime is 27647. The reversal of 27645 is 54672.

27645 = 48² + 49² + ... + 57².

It is a happy number.

It is not a de Polignac number, because 27645 - 2⁶ = 27581 is a prime.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27647) 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, 237 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2²⁷⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

27645 is a deficient number, since it is larger than the sum of its proper divisors (19395).

27645 is a wasteful number, since it uses less digits than its factorization.

27645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its digits is 1680, while the sum is 24.

The square root of 27645 is about 166.2678561839. The cubic root of 27645 is about 30.2370114765.

The spelling of 27645 in words is "twenty-seven thousand, six hundred forty-five".