10000017 has 10 divisors (see below), whose sum is σ = 14938418. Its totient is φ = 6666624.

The previous prime is 9999991. The next prime is 10000019. The reversal of 10000017 is 71000001.

It can be written as a sum of positive squares in only one way, i.e., 9979281 + 20736 = 3159^2 + 144^2 .

It is not a de Polignac number, because 10000017 - 2⁷ = 9999889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9999963 and 10000008.

It is not an unprimeable number, because it can be changed into a prime (10000019) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 61648 + ... + 61809.

Almost surely, 2^10000017 is an apocalyptic number.

It is an amenable number.

10000017 is a deficient number, since it is larger than the sum of its proper divisors (4938401).

10000017 is an equidigital number, since it uses as much as digits as its factorization.

10000017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123469 (or 123460 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 10000017 is about 3162.2803481032. The cubic root of 10000017 is about 215.4435910878.

Adding to 10000017 its reverse (71000001), we get a palindrome (81000018).

It can be divided in two parts, 1000001 and 7, that multiplied together give a palindrome (7000007).

The spelling of 10000017 in words is "ten million, seventeen", and thus it is an aban number and an uban number.