27763 has 2 divisors, whose sum is σ = 27764. Its totient is φ = 27762.

The previous prime is 27751. The next prime is 27767. The reversal of 27763 is 36772.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 27763 - 2¹³ = 19571 is a prime.

It is not a weakly prime, because it can be changed into another prime (27767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13881 + 13882.

It is an arithmetic number, because the mean of its divisors is an integer number (13882).

2²⁷⁷⁶³ is an apocalyptic number.

27763 is a deficient number, since it is larger than the sum of its proper divisors (1).

27763 is an equidigital number, since it uses as much as digits as its factorization.

27763 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 27763 is about 166.6223274354. The cubic root of 27763 is about 30.2799716603.

Subtracting 27763 from its reverse (36772), we obtain a palindrome (9009).

The spelling of 27763 in words is "twenty-seven thousand, seven hundred sixty-three".