10005773 has 2 divisors, whose sum is σ = 10005774. Its totient is φ = 10005772.

The previous prime is 10005731. The next prime is 10005791. The reversal of 10005773 is 37750001.

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., 6901129 + 3104644 = 2627^2 + 1762^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005773 - 2¹⁴ = 9989389 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005703) 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, 5002886 + 5002887.

It is an arithmetic number, because the mean of its divisors is an integer number (5002887).

Almost surely, 2^10005773 is an apocalyptic number.

It is an amenable number.

10005773 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005773 is an equidigital number, since it uses as much as digits as its factorization.

10005773 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 10005773 is about 3163.1903199144. The cubic root of 10005773 is about 215.4849195326.

Adding to 10005773 its reverse (37750001), we get a palindrome (47755774).

The spelling of 10005773 in words is "ten million, five thousand, seven hundred seventy-three".