10964 has 6 divisors (see below), whose sum is σ = 19194. Its totient is φ = 5480.

The previous prime is 10957. The next prime is 10973. The reversal of 10964 is 46901.

10964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 2500 = 92^2 + 50^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

10964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1367 + ... + 1374.

It is an arithmetic number, because the mean of its divisors is an integer number (3199).

2¹⁰⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

10964 is a deficient number, since it is larger than the sum of its proper divisors (8230).

10964 is a wasteful number, since it uses less digits than its factorization.

10964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10964 is about 104.7091209017. The cubic root of 10964 is about 22.2155127893.

Subtracting 10964 from its reverse (46901), we obtain a cube (35937 = 33³).

The spelling of 10964 in words is "ten thousand, nine hundred sixty-four".