844508953 has 2 divisors, whose sum is σ = 844508954. Its totient is φ = 844508952.

The previous prime is 844508947. The next prime is 844508957. The reversal of 844508953 is 359805448.

844508953 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., 484572169 + 359936784 = 22013^2 + 18972^2 .

It is a cyclic number.

It is not a de Polignac number, because 844508953 - 2⁵ = 844508921 is a prime.

It is not a weakly prime, because it can be changed into another prime (844508957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 422254476 + 422254477.

It is an arithmetic number, because the mean of its divisors is an integer number (422254477).

Almost surely, 2^844508953 is an apocalyptic number.

It is an amenable number.

844508953 is a deficient number, since it is larger than the sum of its proper divisors (1).

844508953 is an equidigital number, since it uses as much as digits as its factorization.

844508953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691200, while the sum is 46.

The square root of 844508953 is about 29060.4362148953. The cubic root of 844508953 is about 945.2240272128.

The spelling of 844508953 in words is "eight hundred forty-four million, five hundred eight thousand, nine hundred fifty-three".