10005631 has 2 divisors, whose sum is σ = 10005632. Its totient is φ = 10005630.

The previous prime is 10005629. The next prime is 10005641. The reversal of 10005631 is 13650001.

It is a weak prime.

It is an emirp because it is prime and its reverse (13650001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10005631 - 2¹ = 10005629 is a prime.

It is a super-2 number, since 2×10005631² = 200225303416322, which contains 22 as substring.

Together with 10005629, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002815 + 5002816.

It is an arithmetic number, because the mean of its divisors is an integer number (5002816).

Almost surely, 2^10005631 is an apocalyptic number.

10005631 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005631 is an equidigital number, since it uses as much as digits as its factorization.

10005631 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 10005631 is about 3163.1678741414. The cubic root of 10005631 is about 215.4839001543.

Adding to 10005631 its reverse (13650001), we get a palindrome (23655632).

The spelling of 10005631 in words is "ten million, five thousand, six hundred thirty-one".