85606209 has 24 divisors (see below), whose sum is σ = 133515200. Its totient is φ = 52542432.

The previous prime is 85606193. The next prime is 85606247. The reversal of 85606209 is 90260658.

It is not a de Polignac number, because 85606209 - 2⁴ = 85606193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85606909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60492 + ... + 61890.

Almost surely, 2^85606209 is an apocalyptic number.

It is an amenable number.

85606209 is a deficient number, since it is larger than the sum of its proper divisors (47908991).

85606209 is a wasteful number, since it uses less digits than its factorization.

85606209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85606209 is about 9252.3623469901. The cubic root of 85606209 is about 440.7257461499.

The spelling of 85606209 in words is "eighty-five million, six hundred six thousand, two hundred nine".