85006517 has 2 divisors, whose sum is σ = 85006518. Its totient is φ = 85006516.

The previous prime is 85006499. The next prime is 85006547. The reversal of 85006517 is 71560058.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78251716 + 6754801 = 8846^2 + 2599^2 .

It is a cyclic number.

It is not a de Polignac number, because 85006517 - 2¹⁴ = 84990133 is a prime.

It is a super-2 number, since 2×85006517² = 14452215864942578, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85006547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42503258 + 42503259.

It is an arithmetic number, because the mean of its divisors is an integer number (42503259).

Almost surely, 2^85006517 is an apocalyptic number.

It is an amenable number.

85006517 is a deficient number, since it is larger than the sum of its proper divisors (1).

85006517 is an equidigital number, since it uses as much as digits as its factorization.

85006517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 85006517 is about 9219.8978844671. The cubic root of 85006517 is about 439.6942038459.

The spelling of 85006517 in words is "eighty-five million, six thousand, five hundred seventeen".