27963 has 12 divisors (see below), whose sum is σ = 43680. Its totient is φ = 17136.

The previous prime is 27961. The next prime is 27967. The reversal of 27963 is 36972.

It is not a de Polignac number, because 27963 - 2¹ = 27961 is a prime.

27963 is a lucky number.

It is a nialpdrome in base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (27961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2²⁷⁹⁶³ is an apocalyptic number.

27963 is a deficient number, since it is larger than the sum of its proper divisors (15717).

27963 is a wasteful number, since it uses less digits than its factorization.

27963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 255 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 27963 is about 167.2214101125. The cubic root of 27963 is about 30.3525083714.

Subtracting 27963 from its reverse (36972), we obtain a palindrome (9009).

It can be divided in two parts, 27 and 963, that added together give a triangular number (990 = T₄₄).

The spelling of 27963 in words is "twenty-seven thousand, nine hundred sixty-three".