85001017 has 2 divisors, whose sum is σ = 85001018. Its totient is φ = 85001016.

The previous prime is 85001011. The next prime is 85001023. The reversal of 85001017 is 71010058.

It is a balanced prime because it is at equal distance from previous prime (85001011) and next prime (85001023).

It can be written as a sum of positive squares in only one way, i.e., 83978896 + 1022121 = 9164^2 + 1011^2 .

It is a cyclic number.

It is not a de Polignac number, because 85001017 - 2¹⁵ = 84968249 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85001011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42500508 + 42500509.

It is an arithmetic number, because the mean of its divisors is an integer number (42500509).

Almost surely, 2^85001017 is an apocalyptic number.

It is an amenable number.

85001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

85001017 is an equidigital number, since it uses as much as digits as its factorization.

85001017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 85001017 is about 9219.5996116968. The cubic root of 85001017 is about 439.6847207680.

The spelling of 85001017 in words is "eighty-five million, one thousand, seventeen".