85506217 has 2 divisors, whose sum is σ = 85506218. Its totient is φ = 85506216.

The previous prime is 85506199. The next prime is 85506227. The reversal of 85506217 is 71260558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85174441 + 331776 = 9229^2 + 576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85506217 is a prime.

It is a super-2 number, since 2×85506217² = 14622626291302178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85506227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42753108 + 42753109.

It is an arithmetic number, because the mean of its divisors is an integer number (42753109).

Almost surely, 2^85506217 is an apocalyptic number.

It is an amenable number.

85506217 is a deficient number, since it is larger than the sum of its proper divisors (1).

85506217 is an equidigital number, since it uses as much as digits as its factorization.

85506217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 85506217 is about 9246.9571752009. The cubic root of 85506217 is about 440.5540832971.

The spelling of 85506217 in words is "eighty-five million, five hundred six thousand, two hundred seventeen".