10005727 has 2 divisors, whose sum is σ = 10005728. Its totient is φ = 10005726.

The previous prime is 10005703. The next prime is 10005731. The reversal of 10005727 is 72750001.

It is a strong prime.

It is an emirp because it is prime and its reverse (72750001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10005727 is a prime.

It is a super-2 number, since 2×10005727² = 200229145597058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005698 and 10005707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002863 + 5002864.

It is an arithmetic number, because the mean of its divisors is an integer number (5002864).

Almost surely, 2^10005727 is an apocalyptic number.

10005727 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005727 is an equidigital number, since it uses as much as digits as its factorization.

10005727 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 10005727 is about 3163.1830487659. The cubic root of 10005727 is about 215.4845893126.

Adding to 10005727 its reverse (72750001), we get a palindrome (82755728).

The spelling of 10005727 in words is "ten million, five thousand, seven hundred twenty-seven".