97984512 has 112 divisors (see below), whose sum is σ = 290962080. Its totient is φ = 32587776.

The previous prime is 97984511. The next prime is 97984517. The reversal of 97984512 is 21548979.

Its product of digits (181440) is a multiple of the sum of its prime divisors (448).

It is not an unprimeable number, because it can be changed into a prime (97984511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220963 + ... + 221405.

Almost surely, 2^97984512 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 97984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145481040).

97984512 is an abundant number, since it is smaller than the sum of its proper divisors (192977568).

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

97984512 is an equidigital number, since it uses as much as digits as its factorization.

97984512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 448 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 97984512 is about 9898.7126435714. The cubic root of 97984512 is about 461.0193400224.

It can be divided in two parts, 979 and 84512, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 97984512 in words is "ninety-seven million, nine hundred eighty-four thousand, five hundred twelve".