97248416 has 48 divisors (see below), whose sum is σ = 202704768. Its totient is φ = 45830400.

The previous prime is 97248409. The next prime is 97248421. The reversal of 97248416 is 61484279.

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 7 ways as a sum of consecutive naturals, for example, 51326 + ... + 53186.

It is an arithmetic number, because the mean of its divisors is an integer number (4223016).

Almost surely, 2^97248416 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 97248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101352384).

97248416 is an abundant number, since it is smaller than the sum of its proper divisors (105456352).

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

97248416 is a wasteful number, since it uses less digits than its factorization.

97248416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1957 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 97248416 is about 9861.4611493429. The cubic root of 97248416 is about 459.8619875822.

The spelling of 97248416 in words is "ninety-seven million, two hundred forty-eight thousand, four hundred sixteen".