97995456 has 168 divisors, whose sum is σ = 316199520. Its totient is φ = 28790784.

The previous prime is 97995449. The next prime is 97995481. The reversal of 97995456 is 65459979.

97995456 is a `hidden beast` number, since 9 + 7 + 99 + 545 + 6 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 171940 + ... + 172508.

It is an arithmetic number, because the mean of its divisors is an integer number (1882140).

Almost surely, 2^97995456 is an apocalyptic number.

97995456 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 97995456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158099760).

97995456 is an abundant number, since it is smaller than the sum of its proper divisors (218204064).

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

97995456 is a wasteful number, since it uses less digits than its factorization.

97995456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 610 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The square root of 97995456 is about 9899.2654272931. The cubic root of 97995456 is about 461.0365033057.

The spelling of 97995456 in words is "ninety-seven million, nine hundred ninety-five thousand, four hundred fifty-six".