97533648 has 60 divisors (see below), whose sum is σ = 278785728. Its totient is φ = 31817280.

The previous prime is 97533613. The next prime is 97533649. The reversal of 97533648 is 84633579.

It is a super-3 number, since 3×97533648³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97533649) by changing a digit.

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, 438 + ... + 13973.

Almost surely, 2^97533648 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 97533648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139392864).

97533648 is an abundant number, since it is smaller than the sum of its proper divisors (181252080).

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

97533648 is a wasteful number, since it uses less digits than its factorization.

97533648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14472 (or 14463 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 97533648 is about 9875.9125148008. The cubic root of 97533648 is about 460.3111442518.

The spelling of 97533648 in words is "ninety-seven million, five hundred thirty-three thousand, six hundred forty-eight".