9964 has 12 divisors (see below), whose sum is σ = 18144. Its totient is φ = 4784.

The previous prime is 9949. The next prime is 9967. The reversal of 9964 is 4699.

9964 = T₈₀ + T₈₁ + T₈₂.

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 3 ways as a sum of consecutive naturals, for example, 162 + ... + 214.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2⁹⁹⁶⁴ is an apocalyptic number.

9964 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

9964 is the 82-nd centered triangular number.

It is an amenable number.

9964 is a deficient number, since it is larger than the sum of its proper divisors (8180).

9964 is a wasteful number, since it uses less digits than its factorization.

9964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 9964 is about 99.8198377077. The cubic root of 9964 is about 21.5184625980.

It can be divided in two parts, 996 and 4, that added together give a cube (1000 = 10³).

The spelling of 9964 in words is "nine thousand, nine hundred sixty-four".