10006685 has 8 divisors (see below), whose sum is σ = 12931800. Its totient is φ = 7389504.

The previous prime is 10006663. The next prime is 10006699. The reversal of 10006685 is 58660001.

It can be written as a sum of positive squares in 4 ways, for example, as 1585081 + 8421604 = 1259^2 + 2902^2 .

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 10006685 - 2⁸ = 10006429 is a prime.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 76910 + ... + 77039.

It is an arithmetic number, because the mean of its divisors is an integer number (1616475).

Almost surely, 2^10006685 is an apocalyptic number.

It is an amenable number.

10006685 is a deficient number, since it is larger than the sum of its proper divisors (2925115).

10006685 is a wasteful number, since it uses less digits than its factorization.

10006685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153967.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 10006685 is about 3163.3344748856. The cubic root of 10006685 is about 215.4914662957.

Adding to 10006685 its reverse (58660001), we get a palindrome (68666686).

The spelling of 10006685 in words is "ten million, six thousand, six hundred eighty-five".