10006217 has 16 divisors (see below), whose sum is σ = 12015360. Its totient is φ = 8232192.

The previous prime is 10006207. The next prime is 10006261. The reversal of 10006217 is 71260001.

It is a happy number.

10006217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10006217 - 2⁴ = 10006201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10006195 and 10006204.

It is not an unprimeable number, because it can be changed into a prime (10006207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3008 + ... + 5390.

It is an arithmetic number, because the mean of its divisors is an integer number (750960).

Almost surely, 2^10006217 is an apocalyptic number.

10006217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10006217 is a deficient number, since it is larger than the sum of its proper divisors (2009143).

10006217 is a wasteful number, since it uses less digits than its factorization.

10006217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 10006217 is about 3163.2605014447. The cubic root of 10006217 is about 215.4881068222.

Adding to 10006217 its reverse (71260001), we get a palindrome (81266218).

The spelling of 10006217 in words is "ten million, six thousand, two hundred seventeen".