823941000 has 192 divisors, whose sum is σ = 2821029120. Its totient is φ = 216873600.

The previous prime is 823940977. The next prime is 823941071. The reversal of 823941000 is 149328.

823941000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 746449 + ... + 747551.

It is an arithmetic number, because the mean of its divisors is an integer number (14692860).

Almost surely, 2^823941000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823941000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410514560).

823941000 is an abundant number, since it is smaller than the sum of its proper divisors (1997088120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

823941000 is a wasteful number, since it uses less digits than its factorization.

823941000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 823941000 is about 28704.3724892219. The cubic root of 823941000 is about 937.4872531600.

The spelling of 823941000 in words is "eight hundred twenty-three million, nine hundred forty-one thousand".