27693 has 12 divisors (see below), whose sum is σ = 42588. Its totient is φ = 17280.

The previous prime is 27691. The next prime is 27697. The reversal of 27693 is 39672.

27693 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8649 + 19044 = 93^2 + 138^2 .

It is not a de Polignac number, because 27693 - 2¹ = 27691 is a prime.

It is an Ulam number.

27693 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27691) 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, 63 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (3549).

2²⁷⁶⁹³ is an apocalyptic number.

It is an amenable number.

27693 is a deficient number, since it is larger than the sum of its proper divisors (14895).

27693 is a wasteful number, since it uses less digits than its factorization.

27693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 201 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 27693 is about 166.4121389803. The cubic root of 27693 is about 30.2545015271.

Subtracting from 27693 its product of digits (2268), we obtain a triangular number (25425 = T₂₂₅).

It can be divided in two parts, 2769 and 3, that added together give a palindrome (2772).

The spelling of 27693 in words is "twenty-seven thousand, six hundred ninety-three".