85203209 has 18 divisors (see below), whose sum is σ = 107334990. Its totient is φ = 67406976.

The previous prime is 85203161. The next prime is 85203211. The reversal of 85203209 is 90230258.

It can be written as a sum of positive squares in 3 ways, for example, as 4293184 + 80910025 = 2072^2 + 8995^2 .

It is not a de Polignac number, because 85203209 - 2²⁰ = 84154633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85203259) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3137 + ... + 13425.

It is an arithmetic number, because the mean of its divisors is an integer number (5963055).

Almost surely, 2^85203209 is an apocalyptic number.

It is an amenable number.

85203209 is a deficient number, since it is larger than the sum of its proper divisors (22131781).

85203209 is a wasteful number, since it uses less digits than its factorization.

85203209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 85203209 is about 9230.5584338110. The cubic root of 85203209 is about 440.0330708614.

The spelling of 85203209 in words is "eighty-five million, two hundred three thousand, two hundred nine".