2005306117 has 2 divisors, whose sum is σ = 2005306118. Its totient is φ = 2005306116.

The previous prime is 2005306087. The next prime is 2005306159. The reversal of 2005306117 is 7116035002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1626186276 + 379119841 = 40326^2 + 19471^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005306117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005306091 and 2005306100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2405306117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002653058 + 1002653059.

It is an arithmetic number, because the mean of its divisors is an integer number (1002653059).

Almost surely, 2^2005306117 is an apocalyptic number.

It is an amenable number.

2005306117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005306117 is an equidigital number, since it uses as much as digits as its factorization.

2005306117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 2005306117 is about 44780.6444460104. The cubic root of 2005306117 is about 1261.0342807359.

The spelling of 2005306117 in words is "two billion, five million, three hundred six thousand, one hundred seventeen".