9945585 has 40 divisors (see below), whose sum is σ = 19209960. Its totient is φ = 4893696.

The previous prime is 9945583. The next prime is 9945587. The reversal of 9945585 is 5855499.

9945585 is a `hidden beast` number, since 9 + 94 + 558 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (9945583) and next prime (9945587).

It can be written as a sum of positive squares in 4 ways, for example, as 136161 + 9809424 = 369^2 + 3132^2 .

It is not a de Polignac number, because 9945585 - 2¹ = 9945583 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 9945585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9945581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4321 + ... + 6209.

It is an arithmetic number, because the mean of its divisors is an integer number (480249).

Almost surely, 2^9945585 is an apocalyptic number.

It is an amenable number.

9945585 is a deficient number, since it is larger than the sum of its proper divisors (9264375).

9945585 is a wasteful number, since it uses less digits than its factorization.

9945585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1910 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 9945585 is about 3153.6621569217. The cubic root of 9945585 is about 215.0519794999.

The spelling of 9945585 in words is "nine million, nine hundred forty-five thousand, five hundred eighty-five".