9964305 has 24 divisors (see below), whose sum is σ = 18601128. Its totient is φ = 4905216.

The previous prime is 9964301. The next prime is 9964321. The reversal of 9964305 is 5034699.

9964305 is a `hidden beast` number, since 9 + 9 + 643 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 9960336 = 63^2 + 3156^2 .

It is not a de Polignac number, because 9964305 - 2² = 9964301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9964305.

It is not an unprimeable number, because it can be changed into a prime (9964301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7932 + ... + 9101.

It is an arithmetic number, because the mean of its divisors is an integer number (775047).

Almost surely, 2^9964305 is an apocalyptic number.

It is an amenable number.

9964305 is a deficient number, since it is larger than the sum of its proper divisors (8636823).

9964305 is a wasteful number, since it uses less digits than its factorization.

9964305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17057 (or 17054 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 9964305 is about 3156.6287396525. The cubic root of 9964305 is about 215.1868215720.

The spelling of 9964305 in words is "nine million, nine hundred sixty-four thousand, three hundred five".