820882131 has 8 divisors (see below), whose sum is σ = 1094680464. Its totient is φ = 547169280.

The previous prime is 820882129. The next prime is 820882147. The reversal of 820882131 is 131288028.

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

It is not a de Polignac number, because 820882131 - 2¹ = 820882129 is a prime.

It is a super-2 number, since 2×820882131² = 1347694945990202322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 820882092 and 820882101.

It is not an unprimeable number, because it can be changed into a prime (820882171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6075 + ... + 40971.

It is an arithmetic number, because the mean of its divisors is an integer number (136835058).

Almost surely, 2^820882131 is an apocalyptic number.

820882131 is a deficient number, since it is larger than the sum of its proper divisors (273798333).

820882131 is a wasteful number, since it uses less digits than its factorization.

820882131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42741.

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 820882131 is about 28651.0406617282. The cubic root of 820882131 is about 936.3256785902.

The spelling of 820882131 in words is "eight hundred twenty million, eight hundred eighty-two thousand, one hundred thirty-one".