98097984 has 84 divisors (see below), whose sum is σ = 285154116. Its totient is φ = 32237568.

The previous prime is 98097959. The next prime is 98097991. The reversal of 98097984 is 48979089.

It can be written as a sum of positive squares in 2 ways, for example, as 44515584 + 53582400 = 6672^2 + 7320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 98097984.

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 11 ways as a sum of consecutive naturals, for example, 40882 + ... + 43214.

Almost surely, 2^98097984 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 98097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142577058).

98097984 is an abundant number, since it is smaller than the sum of its proper divisors (187056132).

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

98097984 is a wasteful number, since it uses less digits than its factorization.

98097984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2411 counting only the distinct ones).

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

The square root of 98097984 is about 9904.4426395431. The cubic root of 98097984 is about 461.1972341429.

The spelling of 98097984 in words is "ninety-eight million, ninety-seven thousand, nine hundred eighty-four".