97916 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 38592.

The previous prime is 97883. The next prime is 97919. The reversal of 97916 is 61979.

Added to its reverse (61979) it gives a triangular number (159895 = T₅₆₅).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97919) by changing a digit.

97916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁹⁷⁹¹⁶ 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 97916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

97916 is an abundant number, since it is smaller than the sum of its proper divisors (113764).

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

97916 is a wasteful number, since it uses less digits than its factorization.

97916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its digits is 3402, while the sum is 32.

The square root of 97916 is about 312.9153240095. The cubic root of 97916 is about 46.0911864800.

Adding to 97916 its reverse (61979), we get a triangular number (159895 = T₅₆₅).

Subtracting from 97916 its reverse (61979), we obtain a cube (35937 = 33³).

The spelling of 97916 in words is "ninety-seven thousand, nine hundred sixteen".