806828121 has 60 divisors (see below), whose sum is σ = 1334817792. Its totient is φ = 485298000.

The previous prime is 806828119. The next prime is 806828147. The reversal of 806828121 is 121828608.

It is not a de Polignac number, because 806828121 - 2¹ = 806828119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (806828171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1871776 + ... + 1872206.

Almost surely, 2^806828121 is an apocalyptic number.

806828121 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

806828121 is a deficient number, since it is larger than the sum of its proper divisors (527989671).

806828121 is a wasteful number, since it uses less digits than its factorization.

806828121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 806828121 is about 28404.7200479075. The cubic root of 806828121 is about 930.9513989065.

The spelling of 806828121 in words is "eight hundred six million, eight hundred twenty-eight thousand, one hundred twenty-one".