85305209 has 8 divisors (see below), whose sum is σ = 94638240. Its totient is φ = 76235200.

The previous prime is 85305203. The next prime is 85305251. The reversal of 85305209 is 90250358.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85305209 - 2¹² = 85301113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85305203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65072 + ... + 66369.

It is an arithmetic number, because the mean of its divisors is an integer number (11829780).

Almost surely, 2^85305209 is an apocalyptic number.

It is an amenable number.

85305209 is a deficient number, since it is larger than the sum of its proper divisors (9333031).

85305209 is a wasteful number, since it uses less digits than its factorization.

85305209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131511.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 85305209 is about 9236.0819073891. The cubic root of 85305209 is about 440.2085942763.

The spelling of 85305209 in words is "eighty-five million, three hundred five thousand, two hundred nine".