27667 has 4 divisors (see below), whose sum is σ = 28120. Its totient is φ = 27216.

The previous prime is 27653. The next prime is 27673. The reversal of 27667 is 76672.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 27667 - 2⁷ = 27539 is a prime.

It is a Duffinian number.

27667 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (27617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117 + ... + 262.

It is an arithmetic number, because the mean of its divisors is an integer number (7030).

2²⁷⁶⁶⁷ is an apocalyptic number.

27667 is a deficient number, since it is larger than the sum of its proper divisors (453).

27667 is an equidigital number, since it uses as much as digits as its factorization.

27667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452.

The product of its digits is 3528, while the sum is 28.

The square root of 27667 is about 166.3340013347. The cubic root of 27667 is about 30.2450302607.

It can be divided in two parts, 276 and 67, that added together give a palindrome (343).

The spelling of 27667 in words is "twenty-seven thousand, six hundred sixty-seven".