9852561 has 12 divisors (see below), whose sum is σ = 14306292. Its totient is φ = 6533856.

The previous prime is 9852559. The next prime is 9852569. The reversal of 9852561 is 1652589.

It is a happy number.

9852561 is a `hidden beast` number, since 98 + 5 + 2 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9492561 + 360000 = 3081^2 + 600^2 .

It is not a de Polignac number, because 9852561 - 2¹ = 9852559 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9852569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1006 + ... + 4551.

It is an arithmetic number, because the mean of its divisors is an integer number (1192191).

Almost surely, 2^9852561 is an apocalyptic number.

It is an amenable number.

9852561 is a deficient number, since it is larger than the sum of its proper divisors (4453731).

9852561 is a wasteful number, since it uses less digits than its factorization.

9852561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5757 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 9852561 is about 3138.8789400039. The cubic root of 9852561 is about 214.3793965615.

The spelling of 9852561 in words is "nine million, eight hundred fifty-two thousand, five hundred sixty-one".