827353161 has 48 divisors (see below), whose sum is σ = 1297515024. Its totient is φ = 506068992.

The previous prime is 827353139. The next prime is 827353201. The reversal of 827353161 is 161353728.

It can be written as a sum of positive squares in 8 ways, for example, as 326488761 + 500864400 = 18069^2 + 22380^2 .

It is not a de Polignac number, because 827353161 - 2²¹ = 825256009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827353561) 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 47 ways as a sum of consecutive naturals, for example, 2083815 + ... + 2084211.

It is an arithmetic number, because the mean of its divisors is an integer number (27031563).

Almost surely, 2^827353161 is an apocalyptic number.

It is an amenable number.

827353161 is a deficient number, since it is larger than the sum of its proper divisors (470161863).

827353161 is a wasteful number, since it uses less digits than its factorization.

827353161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 727 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 827353161 is about 28763.7473393159. The cubic root of 827353161 is about 938.7795996584.

The spelling of 827353161 in words is "eight hundred twenty-seven million, three hundred fifty-three thousand, one hundred sixty-one".