11964 has 12 divisors (see below), whose sum is σ = 27944. Its totient is φ = 3984.

The previous prime is 11959. The next prime is 11969. The reversal of 11964 is 46911.

11964 = T₄₇ + T₄₈ + ... + T₅₅.

It is an interprime number because it is at equal distance from previous prime (11959) and next prime (11969).

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 11964.

It is a congruent number.

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

11964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 487 + ... + 510.

2¹¹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

11964 is an abundant number, since it is smaller than the sum of its proper divisors (15980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972).

11964 is a wasteful number, since it uses less digits than its factorization.

11964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1002 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 11964 is about 109.3800713110. The cubic root of 11964 is about 22.8713676337.

The spelling of 11964 in words is "eleven thousand, nine hundred sixty-four".