85444309 has 2 divisors, whose sum is σ = 85444310. Its totient is φ = 85444308.

The previous prime is 85444301. The next prime is 85444313. The reversal of 85444309 is 90344458.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45185284 + 40259025 = 6722^2 + 6345^2 .

It is a cyclic number.

It is not a de Polignac number, because 85444309 - 2³ = 85444301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85444301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42722154 + 42722155.

It is an arithmetic number, because the mean of its divisors is an integer number (42722155).

Almost surely, 2^85444309 is an apocalyptic number.

It is an amenable number.

85444309 is a deficient number, since it is larger than the sum of its proper divisors (1).

85444309 is an equidigital number, since it uses as much as digits as its factorization.

85444309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 85444309 is about 9243.6090895277. The cubic root of 85444309 is about 440.4477346672.

The spelling of 85444309 in words is "eighty-five million, four hundred forty-four thousand, three hundred nine".