10006373 has 8 divisors (see below), whose sum is σ = 10884216. Its totient is φ = 9144000.

The previous prime is 10006351. The next prime is 10006417. The reversal of 10006373 is 37360001.

It can be written as a sum of positive squares in 4 ways, for example, as 4255969 + 5750404 = 2063^2 + 2398^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10006373 - 2¹⁰ = 10005349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006303) 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 7 ways as a sum of consecutive naturals, for example, 2498 + ... + 5123.

It is an arithmetic number, because the mean of its divisors is an integer number (1360527).

Almost surely, 2^10006373 is an apocalyptic number.

10006373 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10006373 is a deficient number, since it is larger than the sum of its proper divisors (877843).

10006373 is a wasteful number, since it uses less digits than its factorization.

10006373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7735.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 10006373 is about 3163.2851594505. The cubic root of 10006373 is about 215.4892266584.

Adding to 10006373 its reverse (37360001), we get a palindrome (47366374).

The spelling of 10006373 in words is "ten million, six thousand, three hundred seventy-three".