10584561 has 16 divisors (see below), whose sum is σ = 15325184. Its totient is φ = 6459264.

The previous prime is 10584559. The next prime is 10584569. The reversal of 10584561 is 16548501.

It is not a de Polignac number, because 10584561 - 2¹ = 10584559 is a prime.

It is a super-3 number, since 3×10584561³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10584569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3885 + ... + 6021.

It is an arithmetic number, because the mean of its divisors is an integer number (957824).

Almost surely, 2^10584561 is an apocalyptic number.

It is an amenable number.

10584561 is a deficient number, since it is larger than the sum of its proper divisors (4740623).

10584561 is a wasteful number, since it uses less digits than its factorization.

10584561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 10584561 is about 3253.3922296581. The cubic root of 10584561 is about 219.5622217288.

It can be divided in two parts, 105 and 84561, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 10584561 in words is "ten million, five hundred eighty-four thousand, five hundred sixty-one".