10006649 has 2 divisors, whose sum is σ = 10006650. Its totient is φ = 10006648.

The previous prime is 10006643. The next prime is 10006657. The reversal of 10006649 is 94660001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9966649 + 40000 = 3157^2 + 200^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006649 - 2²⁰ = 8958073 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10006643) 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, 5003324 + 5003325.

It is an arithmetic number, because the mean of its divisors is an integer number (5003325).

Almost surely, 2^10006649 is an apocalyptic number.

It is an amenable number.

10006649 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006649 is an equidigital number, since it uses as much as digits as its factorization.

10006649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 10006649 is about 3163.3287846824. The cubic root of 10006649 is about 215.4912078784.

The spelling of 10006649 in words is "ten million, six thousand, six hundred forty-nine".