9965312 has 72 divisors (see below), whose sum is σ = 23350656. Its totient is φ = 4156416.

The previous prime is 9965311. The next prime is 9965339. The reversal of 9965312 is 2135699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9965311) 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 7 ways as a sum of consecutive naturals, for example, 120023 + ... + 120105.

Almost surely, 2^9965312 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 9965312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11675328).

9965312 is an abundant number, since it is smaller than the sum of its proper divisors (13385344).

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

9965312 is an equidigital number, since it uses as much as digits as its factorization.

9965312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its digits is 14580, while the sum is 35.

The square root of 9965312 is about 3156.7882412351. The cubic root of 9965312 is about 215.1940703074.

The spelling of 9965312 in words is "nine million, nine hundred sixty-five thousand, three hundred twelve".