820041883 has 8 divisors (see below), whose sum is σ = 834785280. Its totient is φ = 805407720.

The previous prime is 820041857. The next prime is 820041889. The reversal of 820041883 is 388140028.

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 820041883 - 2⁹ = 820041371 is a prime.

It is a super-4 number, since 4×820041883⁴ (a number of 37 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820041889) 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, 12085 + ... + 42262.

It is an arithmetic number, because the mean of its divisors is an integer number (104348160).

Almost surely, 2^820041883 is an apocalyptic number.

820041883 is a deficient number, since it is larger than the sum of its proper divisors (14743397).

820041883 is a wasteful number, since it uses less digits than its factorization.

820041883 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54617.

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 820041883 is about 28636.3734261167. The cubic root of 820041883 is about 936.0060978460.

The spelling of 820041883 in words is "eight hundred twenty million, forty-one thousand, eight hundred eighty-three".