10006741 has 2 divisors, whose sum is σ = 10006742. Its totient is φ = 10006740.

The previous prime is 10006721. The next prime is 10006751. The reversal of 10006741 is 14760001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9579025 + 427716 = 3095^2 + 654^2 .

It is an emirp because it is prime and its reverse (14760001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10006741 - 2¹¹ = 10004693 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10006721) 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, 5003370 + 5003371.

It is an arithmetic number, because the mean of its divisors is an integer number (5003371).

Almost surely, 2^10006741 is an apocalyptic number.

It is an amenable number.

10006741 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006741 is an equidigital number, since it uses as much as digits as its factorization.

10006741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10006741 is about 3163.3433262926. The cubic root of 10006741 is about 215.4918682770.

Adding to 10006741 its reverse (14760001), we get a palindrome (24766742).

The spelling of 10006741 in words is "ten million, six thousand, seven hundred forty-one".