97585488 has 240 divisors, whose sum is σ = 367226496. Its totient is φ = 23362560.

The previous prime is 97585487. The next prime is 97585517. The reversal of 97585488 is 88458579.

97585488 is a `hidden beast` number, since 97 + 5 + 8 + 548 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97585483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143806 + ... + 144482.

Almost surely, 2^97585488 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 97585488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183613248).

97585488 is an abundant number, since it is smaller than the sum of its proper divisors (269641008).

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

97585488 is a wasteful number, since it uses less digits than its factorization.

97585488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 713 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The square root of 97585488 is about 9878.5367337476. The cubic root of 97585488 is about 460.3926829609.

It can be divided in two parts, 97 and 585488, that added together give a palindrome (585585).

The spelling of 97585488 in words is "ninety-seven million, five hundred eighty-five thousand, four hundred eighty-eight".