85839209 has 2 divisors, whose sum is σ = 85839210. Its totient is φ = 85839208.

The previous prime is 85839161. The next prime is 85839241. The reversal of 85839209 is 90293858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84584809 + 1254400 = 9197^2 + 1120^2 .

It is a cyclic number.

It is not a de Polignac number, because 85839209 - 2¹⁶ = 85773673 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85839209.

It is not a weakly prime, because it can be changed into another prime (85839269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42919604 + 42919605.

It is an arithmetic number, because the mean of its divisors is an integer number (42919605).

Almost surely, 2^85839209 is an apocalyptic number.

It is an amenable number.

85839209 is a deficient number, since it is larger than the sum of its proper divisors (1).

85839209 is an equidigital number, since it uses as much as digits as its factorization.

85839209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 85839209 is about 9264.9451698324. The cubic root of 85839209 is about 441.1252345962.

The spelling of 85839209 in words is "eighty-five million, eight hundred thirty-nine thousand, two hundred nine".