10006631 has 2 divisors, whose sum is σ = 10006632. Its totient is φ = 10006630.

The previous prime is 10006627. The next prime is 10006643. The reversal of 10006631 is 13660001.

It is a weak prime.

It is an emirp because it is prime and its reverse (13660001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10006631 - 2² = 10006627 is a prime.

It is a super-2 number, since 2×10006631² = 200265327940322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005631) 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, 5003315 + 5003316.

It is an arithmetic number, because the mean of its divisors is an integer number (5003316).

Almost surely, 2^10006631 is an apocalyptic number.

10006631 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006631 is an equidigital number, since it uses as much as digits as its factorization.

10006631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 10006631 is about 3163.3259395769. The cubic root of 10006631 is about 215.4910786695.

Adding to 10006631 its reverse (13660001), we get a palindrome (23666632).

The spelling of 10006631 in words is "ten million, six thousand, six hundred thirty-one".