97856 has 28 divisors (see below), whose sum is σ = 213360. Its totient is φ = 44160.

The previous prime is 97849. The next prime is 97859. The reversal of 97856 is 65879.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97856.

It is not an unprimeable number, because it can be changed into a prime (97859) by changing a digit.

97856 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 3 ways as a sum of consecutive naturals, for example, 635 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (7620).

2⁹⁷⁸⁵⁶ 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 97856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106680).

97856 is an abundant number, since it is smaller than the sum of its proper divisors (115504).

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

97856 is a wasteful number, since it uses less digits than its factorization.

97856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 97856 is about 312.8194367363. The cubic root of 97856 is about 46.0817701223.

The spelling of 97856 in words is "ninety-seven thousand, eight hundred fifty-six".