9965565 has 16 divisors (see below), whose sum is σ = 17716800. Its totient is φ = 5314896.

The previous prime is 9965533. The next prime is 9965573. The reversal of 9965565 is 5655699.

9965565 is a `hidden beast` number, since 9 + 96 + 556 + 5 = 666.

It is not a de Polignac number, because 9965565 - 2⁵ = 9965533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 9965565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36775 + ... + 37044.

It is an arithmetic number, because the mean of its divisors is an integer number (1107300).

Almost surely, 2^9965565 is an apocalyptic number.

It is an amenable number.

9965565 is a deficient number, since it is larger than the sum of its proper divisors (7751235).

9965565 is a wasteful number, since it uses less digits than its factorization.

9965565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73833 (or 73827 counting only the distinct ones).

The product of its digits is 364500, while the sum is 45.

The square root of 9965565 is about 3156.8283133550. The cubic root of 9965565 is about 215.1958914124.

It can be divided in two parts, 996 and 5565, that added together give a 8-th power (6561 = 3⁸).

The spelling of 9965565 in words is "nine million, nine hundred sixty-five thousand, five hundred sixty-five".