982971000 has 192 divisors, whose sum is σ = 3624847200. Its totient is φ = 238272000.

The previous prime is 982970951. The next prime is 982971001. The reversal of 982971000 is 179289.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982971001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94036 + ... + 103964.

Almost surely, 2^982971000 is an apocalyptic number.

982971000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812423600).

982971000 is an abundant number, since it is smaller than the sum of its proper divisors (2641876200).

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

982971000 is a wasteful number, since it uses less digits than its factorization.

982971000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9967 (or 9950 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 982971000 is about 31352.3683315950. The cubic root of 982971000 is about 994.2911375759.

The spelling of 982971000 in words is "nine hundred eighty-two million, nine hundred seventy-one thousand".