27673 has 2 divisors, whose sum is σ = 27674. Its totient is φ = 27672.

The previous prime is 27653. The next prime is 27689. The reversal of 27673 is 37672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15129 + 12544 = 123^2 + 112^2 .

27673 is a truncatable prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27673 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (27653) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13836 + 13837.

It is an arithmetic number, because the mean of its divisors is an integer number (13837).

2²⁷⁶⁷³ is an apocalyptic number.

It is an amenable number.

27673 is a deficient number, since it is larger than the sum of its proper divisors (1).

27673 is an equidigital number, since it uses as much as digits as its factorization.

27673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 25.

The square root of 27673 is about 166.3520363566. The cubic root of 27673 is about 30.2472164640.

Subtracting 27673 from its reverse (37672), we obtain a palindrome (9999).

The spelling of 27673 in words is "twenty-seven thousand, six hundred seventy-three".