85905217 has 2 divisors, whose sum is σ = 85905218. Its totient is φ = 85905216.

The previous prime is 85905191. The next prime is 85905223. The reversal of 85905217 is 71250958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85821696 + 83521 = 9264^2 + 289^2 .

It is a cyclic number.

It is not a de Polignac number, because 85905217 - 2⁷ = 85905089 is a prime.

It is not a weakly prime, because it can be changed into another prime (85905227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42952608 + 42952609.

It is an arithmetic number, because the mean of its divisors is an integer number (42952609).

Almost surely, 2^85905217 is an apocalyptic number.

It is an amenable number.

85905217 is a deficient number, since it is larger than the sum of its proper divisors (1).

85905217 is an equidigital number, since it uses as much as digits as its factorization.

85905217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 85905217 is about 9268.5067297812. The cubic root of 85905217 is about 441.2382766990.

The spelling of 85905217 in words is "eighty-five million, nine hundred five thousand, two hundred seventeen".