821283000 has 128 divisors (see below), whose sum is σ = 2645360640. Its totient is φ = 211920000.

The previous prime is 821282989. The next prime is 821283007. The reversal of 821283000 is 382128.

821283000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821283007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88585 + ... + 97415.

It is an arithmetic number, because the mean of its divisors is an integer number (20666880).

Almost surely, 2^821283000 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 821283000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322680320).

821283000 is an abundant number, since it is smaller than the sum of its proper divisors (1824077640).

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

821283000 is a wasteful number, since it uses less digits than its factorization.

821283000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 821283000 is about 28658.0355223452. The cubic root of 821283000 is about 936.4780686604.

The spelling of 821283000 in words is "eight hundred twenty-one million, two hundred eighty-three thousand".