10084561 has 2 divisors, whose sum is σ = 10084562. Its totient is φ = 10084560.

The previous prime is 10084549. The next prime is 10084567. The reversal of 10084561 is 16548001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7700625 + 2383936 = 2775^2 + 1544^2 .

It is a cyclic number.

It is not a de Polignac number, because 10084561 - 2⁹ = 10084049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10084567) 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 as a sum of consecutive naturals, namely, 5042280 + 5042281.

It is an arithmetic number, because the mean of its divisors is an integer number (5042281).

Almost surely, 2^10084561 is an apocalyptic number.

It is an amenable number.

10084561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10084561 is an equidigital number, since it uses as much as digits as its factorization.

10084561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 10084561 is about 3175.6197820268. The cubic root of 10084561 is about 216.0490357922.

The spelling of 10084561 in words is "ten million, eighty-four thousand, five hundred sixty-one".