97635456 has 192 divisors, whose sum is σ = 302221920. Its totient is φ = 31352832.

The previous prime is 97635449. The next prime is 97635457. The reversal of 97635456 is 65453679.

97635456 is a `hidden beast` number, since 9 + 7 + 635 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (97635457) by changing a digit.

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, 1337436 + ... + 1337508.

Almost surely, 2^97635456 is an apocalyptic number.

97635456 is a gapful number since it is divisible by the number (96) 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 97635456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151110960).

97635456 is an abundant number, since it is smaller than the sum of its proper divisors (204586464).

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

97635456 is an equidigital number, since it uses as much as digits as its factorization.

97635456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 97635456 is about 9881.0655295874. The cubic root of 97635456 is about 460.4712498895.

The spelling of 97635456 in words is "ninety-seven million, six hundred thirty-five thousand, four hundred fifty-six".