846821 has 8 divisors (see below), whose sum is σ = 906840. Its totient is φ = 787968.

The previous prime is 846779. The next prime is 846823. The reversal of 846821 is 128648.

It can be written as a sum of positive squares in 4 ways, for example, as 474721 + 372100 = 689^2 + 610^2 .

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 846821 - 2⁶ = 846757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846823) 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 7 ways as a sum of consecutive naturals, for example, 1625 + ... + 2081.

It is an arithmetic number, because the mean of its divisors is an integer number (113355).

2⁸⁴⁶⁸²¹ is an apocalyptic number.

It is an amenable number.

846821 is a deficient number, since it is larger than the sum of its proper divisors (60019).

846821 is a wasteful number, since it uses less digits than its factorization.

846821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583.

The product of its digits is 3072, while the sum is 29.

The square root of 846821 is about 920.2287759030. The cubic root of 846821 is about 94.6085834160.

The spelling of 846821 in words is "eight hundred forty-six thousand, eight hundred twenty-one".