9965736 has 48 divisors (see below), whose sum is σ = 29446560. Its totient is φ = 3019680.

The previous prime is 9965731. The next prime is 9965737. The reversal of 9965736 is 6375699.

It is a junction number, because it is equal to n+sod(n) for n = 9965691 and 9965700.

It is not an unprimeable number, because it can be changed into a prime (9965731) 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 11 ways as a sum of consecutive naturals, for example, 5500 + ... + 7083.

It is an arithmetic number, because the mean of its divisors is an integer number (613470).

Almost surely, 2^9965736 is an apocalyptic number.

It is an amenable number.

9965736 is an abundant number, since it is smaller than the sum of its proper divisors (19480824).

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

9965736 is a wasteful number, since it uses less digits than its factorization.

9965736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12606 (or 12599 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 9965736 is about 3156.8553973852. The cubic root of 9965736 is about 215.1971222604.

It can be divided in two parts, 9965 and 736, that added together give a palindrome (10701).

The spelling of 9965736 in words is "nine million, nine hundred sixty-five thousand, seven hundred thirty-six".