847916161 has 9 divisors (see below), whose sum is σ = 872560899. Its totient is φ = 823951224.

The previous prime is 847916149. The next prime is 847916219. The reversal of 847916161 is 161619748.

The square root of 847916161 is 29119.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 758727025 + 89189136 = 27545^2 + 9444^2 .

It is not a de Polignac number, because 847916161 - 2⁵ = 847916129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (847916561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1077010 + ... + 1077796.

It is an arithmetic number, because the mean of its divisors is an integer number (96951211).

Almost surely, 2^847916161 is an apocalyptic number.

847916161 is the 29119-th square number.

847916161 is the 14560-th centered octagonal number.

It is an amenable number.

847916161 is a deficient number, since it is larger than the sum of its proper divisors (24644738).

847916161 is an frugal number, since it uses more digits than its factorization.

847916161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 824 counting only the distinct ones).

The product of its digits is 72576, while the sum is 43.

The cubic root of 847916161 is about 946.4935039325.

The spelling of 847916161 in words is "eight hundred forty-seven million, nine hundred sixteen thousand, one hundred sixty-one".