820108081 has 8 divisors (see below), whose sum is σ = 913648680. Its totient is φ = 730918272.

The previous prime is 820108063. The next prime is 820108127. The reversal of 820108081 is 180801028.

820108081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 800607025 = 4416^2 + 28295^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820108081 - 2¹¹ = 820106033 is a prime.

It is a super-2 number, since 2×820108081² = 1345154529043005122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820108021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1087300 + ... + 1088053.

It is an arithmetic number, because the mean of its divisors is an integer number (114206085).

Almost surely, 2^820108081 is an apocalyptic number.

It is an amenable number.

820108081 is a deficient number, since it is larger than the sum of its proper divisors (93540599).

820108081 is a wasteful number, since it uses less digits than its factorization.

820108081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175395.

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 820108081 is about 28637.5292404914. The cubic root of 820108081 is about 936.0312835777.

The spelling of 820108081 in words is "eight hundred twenty million, one hundred eight thousand, eighty-one".