10200017 has 16 divisors (see below), whose sum is σ = 11871360. Its totient is φ = 8692992.

The previous prime is 10200011. The next prime is 10200037. The reversal of 10200017 is 71000201.

10200017 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10199980 and 10200007.

It is not an unprimeable number, because it can be changed into a prime (10200011) 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 15 ways as a sum of consecutive naturals, for example, 6743 + ... + 8115.

It is an arithmetic number, because the mean of its divisors is an integer number (741960).

Almost surely, 2^10200017 is an apocalyptic number.

10200017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10200017 is a deficient number, since it is larger than the sum of its proper divisors (1671343).

10200017 is a wasteful number, since it uses less digits than its factorization.

10200017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 10200017 is about 3193.7465459864. The cubic root of 10200017 is about 216.8704090084.

Adding to 10200017 its reverse (71000201), we get a palindrome (81200218).

The spelling of 10200017 in words is "ten million, two hundred thousand, seventeen".