18963 has 18 divisors (see below), whose sum is σ = 32604. Its totient is φ = 10584.

The previous prime is 18959. The next prime is 18973. The reversal of 18963 is 36981.

It is not a de Polignac number, because 18963 - 2² = 18959 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (18913) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 420 + ... + 462.

2¹⁸⁹⁶³ is an apocalyptic number.

18963 is a deficient number, since it is larger than the sum of its proper divisors (13641).

18963 is a wasteful number, since it uses less digits than its factorization.

18963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 18963 is about 137.7062090103. The cubic root of 18963 is about 26.6666840278. Note that the first 4 decimals are identical.

It can be divided in two parts, 189 and 63, that added together give a palindrome (252).

The spelling of 18963 in words is "eighteen thousand, nine hundred sixty-three".