982953216 has 216 divisors, whose sum is σ = 3297053760. Its totient is φ = 275816448.

The previous prime is 982953193. The next prime is 982953221. The reversal of 982953216 is 612359289.

982953216 is a `hidden beast` number, since 98 + 29 + 532 + 1 + 6 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 951036 + ... + 952068.

Almost surely, 2^982953216 is an apocalyptic number.

982953216 is a gapful number since it is divisible by the number (96) 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 982953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648526880).

982953216 is an abundant number, since it is smaller than the sum of its proper divisors (2314100544).

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

982953216 is a wasteful number, since it uses less digits than its factorization.

982953216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1104 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 982953216 is about 31352.0847153742. The cubic root of 982953216 is about 994.2851412714.

The spelling of 982953216 in words is "nine hundred eighty-two million, nine hundred fifty-three thousand, two hundred sixteen".