827812161 has 24 divisors (see below), whose sum is σ = 1381165344. Its totient is φ = 472191360.

The previous prime is 827812157. The next prime is 827812169. The reversal of 827812161 is 161218728.

It is not a de Polignac number, because 827812161 - 2² = 827812157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827812169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244251 + ... + 247616.

It is an arithmetic number, because the mean of its divisors is an integer number (57548556).

Almost surely, 2^827812161 is an apocalyptic number.

It is an amenable number.

827812161 is a deficient number, since it is larger than the sum of its proper divisors (553353183).

827812161 is a wasteful number, since it uses less digits than its factorization.

827812161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491901 (or 491898 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 827812161 is about 28771.7250264909. The cubic root of 827812161 is about 938.9531733293.

The spelling of 827812161 in words is "eight hundred twenty-seven million, eight hundred twelve thousand, one hundred sixty-one".