844309 has 2 divisors, whose sum is σ = 844310. Its totient is φ = 844308.

The previous prime is 844297. The next prime is 844321. The reversal of 844309 is 903448.

It is a balanced prime because it is at equal distance from previous prime (844297) and next prime (844321).

It can be written as a sum of positive squares in only one way, i.e., 815409 + 28900 = 903^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 844309 - 2⁹ = 843797 is a prime.

844309 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (844369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 422154 + 422155.

It is an arithmetic number, because the mean of its divisors is an integer number (422155).

2⁸⁴⁴³⁰⁹ is an apocalyptic number.

It is an amenable number.

844309 is a deficient number, since it is larger than the sum of its proper divisors (1).

844309 is an equidigital number, since it uses as much as digits as its factorization.

844309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 844309 is about 918.8628842216. The cubic root of 844309 is about 94.5149421610.

The spelling of 844309 in words is "eight hundred forty-four thousand, three hundred nine".