821097000 has 384 divisors, whose sum is σ = 2998195200. Its totient is φ = 209952000.

The previous prime is 821096999. The next prime is 821097019. The reversal of 821097000 is 790128.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 7532946 + ... + 7533054.

It is an arithmetic number, because the mean of its divisors is an integer number (7807800).

Almost surely, 2^821097000 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 821097000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499097600).

821097000 is an abundant number, since it is smaller than the sum of its proper divisors (2177098200).

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

821097000 is a wasteful number, since it uses less digits than its factorization.

821097000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 821097000 is about 28654.7901754663. The cubic root of 821097000 is about 936.4073670582.

The spelling of 821097000 in words is "eight hundred twenty-one million, ninety-seven thousand".