11963 has 4 divisors (see below), whose sum is σ = 13680. Its totient is φ = 10248.

The previous prime is 11959. The next prime is 11969. The reversal of 11963 is 36911.

11963 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 36911 = 7 ⋅5273.

It is not a de Polignac number, because 11963 - 2² = 11959 is a prime.

It is a super-2 number, since 2×11963² = 286226738, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 848 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2¹¹⁹⁶³ is an apocalyptic number.

11963 is a deficient number, since it is larger than the sum of its proper divisors (1717).

11963 is an equidigital number, since it uses as much as digits as its factorization.

11963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716.

The product of its digits is 162, while the sum is 20.

The square root of 11963 is about 109.3754999989. The cubic root of 11963 is about 22.8707303885.

The spelling of 11963 in words is "eleven thousand, nine hundred sixty-three".