2005104717 has 24 divisors (see below), whose sum is σ = 3610925760. Its totient is φ = 1041612480.

The previous prime is 2005104683. The next prime is 2005104839. The reversal of 2005104717 is 7174015002.

It is not a de Polignac number, because 2005104717 - 2⁶ = 2005104653 is a prime.

It is a super-2 number, since 2×2005104717² = 8040889852271300178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005104317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1445992 + ... + 1447377.

It is an arithmetic number, because the mean of its divisors is an integer number (150455240).

Almost surely, 2^2005104717 is an apocalyptic number.

It is an amenable number.

2005104717 is a deficient number, since it is larger than the sum of its proper divisors (1605821043).

2005104717 is a wasteful number, since it uses less digits than its factorization.

2005104717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893393 (or 2893390 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 2005104717 is about 44778.3956501347. The cubic root of 2005104717 is about 1260.9920626086.

Adding to 2005104717 its reverse (7174015002), we get a palindrome (9179119719).

The spelling of 2005104717 in words is "two billion, five million, one hundred four thousand, seven hundred seventeen".