97820 has 24 divisors (see below), whose sum is σ = 211344. Its totient is φ = 38016.

The previous prime is 97813. The next prime is 97829. The reversal of 97820 is 2879.

It is a self number, because there is not a number n which added to its sum of digits gives 97820.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97820.

It is not an unprimeable number, because it can be changed into a prime (97829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1304 + ... + 1376.

It is an arithmetic number, because the mean of its divisors is an integer number (8806).

2⁹⁷⁸²⁰ is an apocalyptic number.

It is an amenable number.

97820 is an abundant number, since it is smaller than the sum of its proper divisors (113524).

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 (105672).

97820 is a wasteful number, since it uses less digits than its factorization.

97820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 97820 is about 312.7618902616. The cubic root of 97820 is about 46.0761184600.

The spelling of 97820 in words is "ninety-seven thousand, eight hundred twenty".