97856352 has 288 divisors, whose sum is σ = 339655680. Its totient is φ = 26357760.

The previous prime is 97856333. The next prime is 97856357. The reversal of 97856352 is 25365879.

It is a happy number.

97856352 is a `hidden beast` number, since 9 + 7 + 8 + 5 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (453600) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 97856298 and 97856307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97856357) 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 47 ways as a sum of consecutive naturals, for example, 1238649 + ... + 1238727.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^97856352 is an apocalyptic number.

97856352 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97856352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

97856352 is an abundant number, since it is smaller than the sum of its proper divisors (241799328).

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

97856352 is a wasteful number, since it uses less digits than its factorization.

97856352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 97856352 is about 9892.2369563209. The cubic root of 97856352 is about 460.8182537619.

The spelling of 97856352 in words is "ninety-seven million, eight hundred fifty-six thousand, three hundred fifty-two".