27671 has 8 divisors (see below), whose sum is σ = 32640. Its totient is φ = 22968.

The previous prime is 27653. The next prime is 27673. The reversal of 27671 is 17672.

It is a happy number.

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 27671 - 2¹⁰ = 26647 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27673) 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, 380 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (4080).

2²⁷⁶⁷¹ is an apocalyptic number.

27671 is a deficient number, since it is larger than the sum of its proper divisors (4969).

27671 is an equidigital number, since it uses as much as digits as its factorization.

27671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133.

The product of its digits is 588, while the sum is 23.

The square root of 27671 is about 166.3460248999. The cubic root of 27671 is about 30.2464877647.

Subtracting from 27671 its reverse (17672), we obtain a palindrome (9999).

The spelling of 27671 in words is "twenty-seven thousand, six hundred seventy-one".