820997982 has 96 divisors (see below), whose sum is σ = 2066688000. Its totient is φ = 230719104.

The previous prime is 820997971. The next prime is 820997987. The reversal of 820997982 is 289799028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820997987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3435019 + ... + 3435257.

It is an arithmetic number, because the mean of its divisors is an integer number (21528000).

Almost surely, 2^820997982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820997982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033344000).

820997982 is an abundant number, since it is smaller than the sum of its proper divisors (1245690018).

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

820997982 is a wasteful number, since it uses less digits than its factorization.

820997982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 820997982 is about 28653.0623494244. The cubic root of 820997982 is about 936.3697243631.

The spelling of 820997982 in words is "eight hundred twenty million, nine hundred ninety-seven thousand, nine hundred eighty-two".