20085017 has 2 divisors, whose sum is σ = 20085018. Its totient is φ = 20085016.

The previous prime is 20084989. The next prime is 20085019. The reversal of 20085017 is 71058002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12138256 + 7946761 = 3484^2 + 2819^2 .

It is a cyclic number.

It is not a de Polignac number, because 20085017 - 2⁸ = 20084761 is a prime.

Together with 20085019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 20084983 and 20085001.

It is not a weakly prime, because it can be changed into another prime (20085019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10042508 + 10042509.

It is an arithmetic number, because the mean of its divisors is an integer number (10042509).

Almost surely, 2^20085017 is an apocalyptic number.

It is an amenable number.

20085017 is a deficient number, since it is larger than the sum of its proper divisors (1).

20085017 is an equidigital number, since it uses as much as digits as its factorization.

20085017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 20085017 is about 4481.6310646906. The cubic root of 20085017 is about 271.8258373606.

The spelling of 20085017 in words is "twenty million, eighty-five thousand, seventeen".