27641 has 4 divisors (see below), whose sum is σ = 27984. Its totient is φ = 27300.

The previous prime is 27631. The next prime is 27647. The reversal of 27641 is 14672.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 27641 - 2¹⁴ = 11257 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (27647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (6996).

2²⁷⁶⁴¹ is an apocalyptic number.

It is an amenable number.

27641 is a deficient number, since it is larger than the sum of its proper divisors (343).

27641 is a wasteful number, since it uses less digits than its factorization.

27641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342.

The product of its digits is 336, while the sum is 20.

The square root of 27641 is about 166.2558269656. The cubic root of 27641 is about 30.2355530587.

The spelling of 27641 in words is "twenty-seven thousand, six hundred forty-one".