97533936 has 80 divisors (see below), whose sum is σ = 289029120. Its totient is φ = 31458240.

The previous prime is 97533923. The next prime is 97533941. The reversal of 97533936 is 63933579.

It is a junction number, because it is equal to n+sod(n) for n = 97533891 and 97533900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9751 + ... + 17033.

It is an arithmetic number, because the mean of its divisors is an integer number (3612864).

Almost surely, 2^97533936 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 97533936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144514560).

97533936 is an abundant number, since it is smaller than the sum of its proper divisors (191495184).

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

97533936 is a wasteful number, since it uses less digits than its factorization.

97533936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7331 (or 7319 counting only the distinct ones).

The product of its digits is 459270, while the sum is 45.

The square root of 97533936 is about 9875.9270957212. The cubic root of 97533936 is about 460.3115973244.

It can be divided in two parts, 9753 and 3936, that added together give a square (13689 = 117²).

The spelling of 97533936 in words is "ninety-seven million, five hundred thirty-three thousand, nine hundred thirty-six".