825008982 has 64 divisors (see below), whose sum is σ = 1931904000. Its totient is φ = 234776640.

The previous prime is 825008981. The next prime is 825008993. The reversal of 825008982 is 289800528.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825008981) 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, 639394 + ... + 640682.

It is an arithmetic number, because the mean of its divisors is an integer number (30186000).

Almost surely, 2^825008982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825008982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965952000).

825008982 is an abundant number, since it is smaller than the sum of its proper divisors (1106895018).

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

825008982 is a wasteful number, since it uses less digits than its factorization.

825008982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 825008982 is about 28722.9695888152. The cubic root of 825008982 is about 937.8921313546.

The spelling of 825008982 in words is "eight hundred twenty-five million, eight thousand, nine hundred eighty-two".