10006873 has 2 divisors, whose sum is σ = 10006874. Its totient is φ = 10006872.

The previous prime is 10006861. The next prime is 10006883. The reversal of 10006873 is 37860001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10004569 + 2304 = 3163^2 + 48^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10006873 is a prime.

It is equal to p₆₆₅₀₀₈ and since 10006873 and 665008 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10006823) 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, 5003436 + 5003437.

It is an arithmetic number, because the mean of its divisors is an integer number (5003437).

Almost surely, 2^10006873 is an apocalyptic number.

It is an amenable number.

10006873 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006873 is an equidigital number, since it uses as much as digits as its factorization.

10006873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10006873 is about 3163.3641902253. The cubic root of 10006873 is about 215.4928157983.

Adding to 10006873 its reverse (37860001), we get a palindrome (47866874).

The spelling of 10006873 in words is "ten million, six thousand, eight hundred seventy-three".