9005964 has 24 divisors (see below), whose sum is σ = 22924608. Its totient is φ = 2729040.

The previous prime is 9005947. The next prime is 9005977. The reversal of 9005964 is 4695009.

It is a happy number.

It is a super-2 number, since 2×9005964² = 162214775138592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33982 + ... + 34245.

It is an arithmetic number, because the mean of its divisors is an integer number (955192).

Almost surely, 2^9005964 is an apocalyptic number.

It is an amenable number.

9005964 is an abundant number, since it is smaller than the sum of its proper divisors (13918644).

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

9005964 is a wasteful number, since it uses less digits than its factorization.

9005964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68245 (or 68243 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 9005964 is about 3000.9938353819. The cubic root of 9005964 is about 208.0543189002.

The spelling of 9005964 in words is "nine million, five thousand, nine hundred sixty-four".