97929216 has 384 divisors, whose sum is σ = 377395200. Its totient is φ = 24330240.

The previous prime is 97929199. The next prime is 97929229. The reversal of 97929216 is 61292979.

97929216 = 99² + 100² + ... + 665².

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (122472) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257781 + ... + 4257803.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^97929216 is an apocalyptic number.

97929216 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 97929216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

97929216 is an abundant number, since it is smaller than the sum of its proper divisors (279465984).

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

97929216 is a wasteful number, since it uses less digits than its factorization.

97929216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 97929216 is about 9895.9191589261. The cubic root of 97929216 is about 460.9326007278.

The spelling of 97929216 in words is "ninety-seven million, nine hundred twenty-nine thousand, two hundred sixteen".