97313216 has 224 divisors, whose sum is σ = 273100800. Its totient is φ = 33868800.

The previous prime is 97313201. The next prime is 97313261. The reversal of 97313216 is 61231379.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3139121 + ... + 3139151.

It is an arithmetic number, because the mean of its divisors is an integer number (1219200).

Almost surely, 2^97313216 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 97313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136550400).

97313216 is an abundant number, since it is smaller than the sum of its proper divisors (175787584).

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

97313216 is a wasteful number, since it uses less digits than its factorization.

97313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 97313216 is about 9864.7461193890. The cubic root of 97313216 is about 459.9641055798.

It can be divided in two parts, 97 and 313216, that added together give a palindrome (313313).

The spelling of 97313216 in words is "ninety-seven million, three hundred thirteen thousand, two hundred sixteen".