97584552 has 96 divisors (see below), whose sum is σ = 287075880. Its totient is φ = 29767680.

The previous prime is 97584527. The next prime is 97584563. The reversal of 97584552 is 25548579.

97584552 is a `hidden beast` number, since 97 + 5 + 8 + 4 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36650916 + 60933636 = 6054^2 + 7806^2 .

It is a junction number, because it is equal to n+sod(n) for n = 97584498 and 97584507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127852 + ... + 128612.

Almost surely, 2^97584552 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 97584552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143537940).

97584552 is an abundant number, since it is smaller than the sum of its proper divisors (189491328).

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

97584552 is a wasteful number, since it uses less digits than its factorization.

97584552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 916 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 97584552 is about 9878.4893581964. The cubic root of 97584552 is about 460.3912109902.

The spelling of 97584552 in words is "ninety-seven million, five hundred eighty-four thousand, five hundred fifty-two".