820084821 has 8 divisors (see below), whose sum is σ = 1150996320. Its totient is φ = 517948272.

The previous prime is 820084813. The next prime is 820084831. The reversal of 820084821 is 128480028.

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

It is not a de Polignac number, because 820084821 - 2³ = 820084813 is a prime.

It is a super-2 number, since 2×820084821² = 1345078227269204082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820084831) 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 7 ways as a sum of consecutive naturals, for example, 7193670 + ... + 7193783.

It is an arithmetic number, because the mean of its divisors is an integer number (143874540).

Almost surely, 2^820084821 is an apocalyptic number.

It is an amenable number.

820084821 is a deficient number, since it is larger than the sum of its proper divisors (330911499).

820084821 is a wasteful number, since it uses less digits than its factorization.

820084821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14387475.

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 820084821 is about 28637.1231271579. The cubic root of 820084821 is about 936.0224342183.

The spelling of 820084821 in words is "eight hundred twenty million, eighty-four thousand, eight hundred twenty-one".