97216 has 42 divisors (see below), whose sum is σ = 231648. Its totient is φ = 40320.

The previous prime is 97213. The next prime is 97231. The reversal of 97216 is 61279.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3121 + ... + 3151.

2⁹⁷²¹⁶ 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 97216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115824).

97216 is an abundant number, since it is smaller than the sum of its proper divisors (134432).

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

97216 is a wasteful number, since it uses less digits than its factorization.

97216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 40 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 97216 is about 311.7948043185. The cubic root of 97216 is about 45.9810886346.

Subtracting from 97216 its reverse (61279), we obtain a cube (35937 = 33³).

It can be divided in two parts, 97 and 216, that added together give a palindrome (313).

The spelling of 97216 in words is "ninety-seven thousand, two hundred sixteen".