806461821 has 24 divisors (see below), whose sum is σ = 1337675040. Its totient is φ = 463039200.

The previous prime is 806461819. The next prime is 806461823. The reversal of 806461821 is 128164608.

806461821 is a `hidden beast` number, since 8 + 0 + 646 + 1 + 8 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (806461819) and next prime (806461823).

It is not a de Polignac number, because 806461821 - 2¹ = 806461819 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806461823) 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 23 ways as a sum of consecutive naturals, for example, 212490 + ... + 216251.

It is an arithmetic number, because the mean of its divisors is an integer number (55736460).

Almost surely, 2^806461821 is an apocalyptic number.

It is an amenable number.

806461821 is a deficient number, since it is larger than the sum of its proper divisors (531213219).

806461821 is a wasteful number, since it uses less digits than its factorization.

806461821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428777 (or 428774 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 806461821 is about 28398.2714438749. The cubic root of 806461821 is about 930.8104935896.

The spelling of 806461821 in words is "eight hundred six million, four hundred sixty-one thousand, eight hundred twenty-one".