9963 has 12 divisors (see below), whose sum is σ = 15288. Its totient is φ = 6480.

The previous prime is 9949. The next prime is 9967. The reversal of 9963 is 3699.

It is not a de Polignac number, because 9963 - 2⁵ = 9931 is a prime.

It is a super-2 number, since 2×9963² = 198522738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a d-powerful number, because it can be written as 9³ + 6⁵ + 9³ + 3⁶ .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9967) 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, 223 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (1274).

2⁹⁹⁶³ is an apocalyptic number.

9963 is a deficient number, since it is larger than the sum of its proper divisors (5325).

9963 is an equidigital number, since it uses as much as digits as its factorization.

9963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 44 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 9963 is about 99.8148285577. The cubic root of 9963 is about 21.5177427003.

It can be divided in two parts, 996 and 3, that added together give a palindrome (999).

The spelling of 9963 in words is "nine thousand, nine hundred sixty-three".