10584641 has 2 divisors, whose sum is σ = 10584642. Its totient is φ = 10584640.

The previous prime is 10584631. The next prime is 10584649. The reversal of 10584641 is 14648501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5313025 + 5271616 = 2305^2 + 2296^2 .

It is a cyclic number.

It is not a de Polignac number, because 10584641 - 2¹⁸ = 10322497 is a prime.

It is a super-2 number, since 2×10584641² = 224069250197762, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10584649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292320 + 5292321.

It is an arithmetic number, because the mean of its divisors is an integer number (5292321).

Almost surely, 2^10584641 is an apocalyptic number.

It is an amenable number.

10584641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10584641 is an equidigital number, since it uses as much as digits as its factorization.

10584641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 10584641 is about 3253.4045244943. The cubic root of 10584641 is about 219.5627748909.

The spelling of 10584641 in words is "ten million, five hundred eighty-four thousand, six hundred forty-one".