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10004017 is a prime number
BaseRepresentation
bin100110001010…
…011000110001
3200211020221011
4212022120301
510030112032
6554230521
7151014142
oct46123061
920736834
1010004017
115713191
123425441
1320c364a
141485ac9
15d29247
hex98a631

10004017 has 2 divisors, whose sum is σ = 10004018. Its totient is φ = 10004016.

The previous prime is 10003999. The next prime is 10004039. The reversal of 10004017 is 71040001.

10004017 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9960336 + 43681 = 3156^2 + 209^2 .

It is an emirp because it is prime and its reverse (71040001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10004017 is a prime.

It is a super-2 number, since 2×100040172 = 200160712272578, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10003988 and 10004006.

It is not a weakly prime, because it can be changed into another prime (10004047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002008 + 5002009.

It is an arithmetic number, because the mean of its divisors is an integer number (5002009).

Almost surely, 210004017 is an apocalyptic number.

It is an amenable number.

10004017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004017 is an equidigital number, since it uses as much as digits as its factorization.

10004017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 10004017 is about 3162.9127398649. The cubic root of 10004017 is about 215.4723130218.

Adding to 10004017 its reverse (71040001), we get a palindrome (81044018).

The spelling of 10004017 in words is "ten million, four thousand, seventeen".