9006561 has 12 divisors (see below), whose sum is σ = 13130260. Its totient is φ = 5948640.

The previous prime is 9006509. The next prime is 9006581. The reversal of 9006561 is 1656009.

9006561 is a `hidden beast` number, since 9 + 0 + 0 + 656 + 1 = 666.

9006561 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6051600 + 2954961 = 2460^2 + 1719^2 .

It is not a de Polignac number, because 9006561 - 2⁷ = 9006433 is a prime.

It is a super-2 number, since 2×9006561² = 162236282093442, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9006581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3610 + ... + 5571.

Almost surely, 2^9006561 is an apocalyptic number.

It is an amenable number.

9006561 is a deficient number, since it is larger than the sum of its proper divisors (4123699).

9006561 is a wasteful number, since it uses less digits than its factorization.

9006561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9296 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9006561 is about 3001.0933007822. The cubic root of 9006561 is about 208.0589160644.

It can be divided in two parts, 900 and 6561, that multiplied together give a square (5904900 = 2430²).

The spelling of 9006561 in words is "nine million, six thousand, five hundred sixty-one".