10006173 has 40 divisors (see below), whose sum is σ = 16099776. Its totient is φ = 6177600.

The previous prime is 10006163. The next prime is 10006177. The reversal of 10006173 is 37160001.

It is not a de Polignac number, because 10006173 - 2⁶ = 10006109 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76318 + ... + 76448.

Almost surely, 2^10006173 is an apocalyptic number.

It is an amenable number.

10006173 is a deficient number, since it is larger than the sum of its proper divisors (6093603).

10006173 is a wasteful number, since it uses less digits than its factorization.

10006173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10006173 is about 3163.2535465878. The cubic root of 10006173 is about 215.4877909689.

Adding to 10006173 its reverse (37160001), we get a palindrome (47166174).

The spelling of 10006173 in words is "ten million, six thousand, one hundred seventy-three".