844817121 has 40 divisors (see below), whose sum is σ = 1350360000. Its totient is φ = 524763360.

The previous prime is 844817069. The next prime is 844817123. The reversal of 844817121 is 121718448.

844817121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 844817121 - 2⁷ = 844816993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (844817123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89380 + ... + 98378.

It is an arithmetic number, because the mean of its divisors is an integer number (33759000).

Almost surely, 2^844817121 is an apocalyptic number.

844817121 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

844817121 is a deficient number, since it is larger than the sum of its proper divisors (505542879).

844817121 is a wasteful number, since it uses less digits than its factorization.

844817121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9091 (or 9082 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 844817121 is about 29065.7379228534. The cubic root of 844817121 is about 945.3389864733.

The spelling of 844817121 in words is "eight hundred forty-four million, eight hundred seventeen thousand, one hundred twenty-one".