27687 has 8 divisors (see below), whose sum is σ = 40320. Its totient is φ = 16760.

The previous prime is 27673. The next prime is 27689. The reversal of 27687 is 78672.

27687 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27687 - 2⁸ = 27431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2²⁷⁶⁸⁷ is an apocalyptic number.

27687 is a deficient number, since it is larger than the sum of its proper divisors (12633).

27687 is a wasteful number, since it uses less digits than its factorization.

27687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853.

The product of its digits is 4704, while the sum is 30.

The square root of 27687 is about 166.3941104727. The cubic root of 27687 is about 30.2523163766.

It can be divided in two parts, 2768 and 7, that added together give a triangular number (2775 = T₇₄).

The spelling of 27687 in words is "twenty-seven thousand, six hundred eighty-seven".