844117 has 2 divisors, whose sum is σ = 844118. Its totient is φ = 844116.

The previous prime is 844111. The next prime is 844121. The reversal of 844117 is 711448.

844117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 649636 + 194481 = 806^2 + 441^2 .

It is a cyclic number.

It is not a de Polignac number, because 844117 - 2¹⁹ = 319829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 844091 and 844100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (844111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 422058 + 422059.

It is an arithmetic number, because the mean of its divisors is an integer number (422059).

2⁸⁴⁴¹¹⁷ is an apocalyptic number.

It is an amenable number.

844117 is a deficient number, since it is larger than the sum of its proper divisors (1).

844117 is an equidigital number, since it uses as much as digits as its factorization.

844117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 896, while the sum is 25.

The square root of 844117 is about 918.7584013221. The cubic root of 844117 is about 94.5077772310.

It can be divided in two parts, 844 and 117, that added together give a square (961 = 31²).

The spelling of 844117 in words is "eight hundred forty-four thousand, one hundred seventeen".