97116 has 12 divisors (see below), whose sum is σ = 226632. Its totient is φ = 32368.

The previous prime is 97103. The next prime is 97117. The reversal of 97116 is 61179.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4035 + ... + 4058.

It is an arithmetic number, because the mean of its divisors is an integer number (18886).

2⁹⁷¹¹⁶ is an apocalyptic number.

It is an amenable number.

97116 is an abundant number, since it is smaller than the sum of its proper divisors (129516).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113316).

97116 is a wasteful number, since it uses less digits than its factorization.

97116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100 (or 8098 counting only the distinct ones).

The product of its digits is 378, while the sum is 24.

The square root of 97116 is about 311.6344011819. The cubic root of 97116 is about 45.9653172720.

Subtracting from 97116 its reverse (61179), we obtain a cube (35937 = 33³).

The spelling of 97116 in words is "ninety-seven thousand, one hundred sixteen".