85002017 has 2 divisors, whose sum is σ = 85002018. Its totient is φ = 85002016.

The previous prime is 85002011. The next prime is 85002019. The reversal of 85002017 is 71020058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81018001 + 3984016 = 9001^2 + 1996^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85002017 is a prime.

Together with 85002019, 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 = 85001983 and 85002001.

It is not a weakly prime, because it can be changed into another prime (85002011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42501008 + 42501009.

It is an arithmetic number, because the mean of its divisors is an integer number (42501009).

Almost surely, 2^85002017 is an apocalyptic number.

It is an amenable number.

85002017 is a deficient number, since it is larger than the sum of its proper divisors (1).

85002017 is an equidigital number, since it uses as much as digits as its factorization.

85002017 is an odious number, because the sum of its binary digits is odd.

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

The square root of 85002017 is about 9219.6538438273. The cubic root of 85002017 is about 439.6864449944.

The spelling of 85002017 in words is "eighty-five million, two thousand, seventeen".