10005641 has 2 divisors, whose sum is σ = 10005642. Its totient is φ = 10005640.

The previous prime is 10005631. The next prime is 10005661. The reversal of 10005641 is 14650001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9610000 + 395641 = 3100^2 + 629^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10005641 is a prime.

It is a super-2 number, since 2×10005641² = 200225703641762, which contains 22 as substring.

It is a Chen prime.

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, 5002820 + 5002821.

It is an arithmetic number, because the mean of its divisors is an integer number (5002821).

Almost surely, 2^10005641 is an apocalyptic number.

It is an amenable number.

10005641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005641 is an equidigital number, since it uses as much as digits as its factorization.

10005641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10005641 is about 3163.1694548348. The cubic root of 10005641 is about 215.4839719419.

Adding to 10005641 its reverse (14650001), we get a palindrome (24655642).

The spelling of 10005641 in words is "ten million, five thousand, six hundred forty-one".