97557984 has 72 divisors (see below), whose sum is σ = 279541080. Its totient is φ = 32272128.

The previous prime is 97557953. The next prime is 97557991. The reversal of 97557984 is 48975579.

97557984 is a `hidden beast` number, since 9 + 7 + 557 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

Its product of digits (3175200) is a multiple of the sum of its prime factors (2592).

It is a self number, because there is not a number n which added to its sum of digits gives 97557984.

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, 38814 + ... + 41250.

It is an arithmetic number, because the mean of its divisors is an integer number (3882515).

Almost surely, 2^97557984 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 97557984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139770540).

97557984 is an abundant number, since it is smaller than the sum of its proper divisors (181983096).

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

97557984 is a wasteful number, since it uses less digits than its factorization.

97557984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2581 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 97557984 is about 9877.1445266332. The cubic root of 97557984 is about 460.3494257429.

The spelling of 97557984 in words is "ninety-seven million, five hundred fifty-seven thousand, nine hundred eighty-four".