97716 has 24 divisors (see below), whose sum is σ = 241920. Its totient is φ = 30592.

The previous prime is 97711. The next prime is 97729. The reversal of 97716 is 61779.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97711) by changing a digit.

97716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 36 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2⁹⁷⁷¹⁶ 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 97716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

97716 is an abundant number, since it is smaller than the sum of its proper divisors (144204).

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

97716 is a wasteful number, since it uses less digits than its factorization.

97716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its digits is 2646, while the sum is 30.

The square root of 97716 is about 312.5955853815. The cubic root of 97716 is about 46.0597836425.

Subtracting from 97716 its reverse (61779), we obtain a cube (35937 = 33³).

The spelling of 97716 in words is "ninety-seven thousand, seven hundred sixteen".