9965956 has 96 divisors (see below), whose sum is σ = 24837120. Its totient is φ = 3369600.

The previous prime is 9965951. The next prime is 9965957. The reversal of 9965956 is 6595699.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9965951) by changing a digit.

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 in 31 ways as a sum of consecutive naturals, for example, 76011 + ... + 76141.

It is an arithmetic number, because the mean of its divisors is an integer number (258720).

Almost surely, 2^9965956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9965956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418560).

9965956 is an abundant number, since it is smaller than the sum of its proper divisors (14871164).

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

9965956 is a wasteful number, since it uses less digits than its factorization.

9965956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its digits is 656100, while the sum is 49.

The square root of 9965956 is about 3156.8902419945. The cubic root of 9965956 is about 215.1987057868.

The spelling of 9965956 in words is "nine million, nine hundred sixty-five thousand, nine hundred fifty-six".