10009873 has 2 divisors, whose sum is σ = 10009874. Its totient is φ = 10009872.

The previous prime is 10009871. The next prime is 10009877. The reversal of 10009873 is 37890001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5650129 + 4359744 = 2377^2 + 2088^2 .

It is an emirp because it is prime and its reverse (37890001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10009873 - 2¹ = 10009871 is a prime.

It is a super-2 number, since 2×10009873² = 200395114952258, which contains 22 as substring.

Together with 10009871, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10009871) 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, 5004936 + 5004937.

It is an arithmetic number, because the mean of its divisors is an integer number (5004937).

Almost surely, 2^10009873 is an apocalyptic number.

It is an amenable number.

10009873 is a deficient number, since it is larger than the sum of its proper divisors (1).

10009873 is an equidigital number, since it uses as much as digits as its factorization.

10009873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 10009873 is about 3163.8383334172. The cubic root of 10009873 is about 215.5143481276.

Adding to 10009873 its reverse (37890001), we get a palindrome (47899874).

The spelling of 10009873 in words is "ten million, nine thousand, eight hundred seventy-three".