97755408 has 60 divisors (see below), whose sum is σ = 276909360. Its totient is φ = 32188608.

The previous prime is 97755403. The next prime is 97755421. The reversal of 97755408 is 80455779.

97755408 is a `hidden beast` number, since 97 + 7 + 554 + 0 + 8 = 666.

It is a super-2 number, since 2×97755408² = 19112239586492928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97755403) 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 11 ways as a sum of consecutive naturals, for example, 7863 + ... + 16041.

It is an arithmetic number, because the mean of its divisors is an integer number (4615156).

Almost surely, 2^97755408 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 97755408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138454680).

97755408 is an abundant number, since it is smaller than the sum of its proper divisors (179153952).

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

97755408 is a wasteful number, since it uses less digits than its factorization.

97755408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 97755408 is about 9887.1334571755. The cubic root of 97755408 is about 460.6597464502.

The spelling of 97755408 in words is "ninety-seven million, seven hundred fifty-five thousand, four hundred eight".