97900 has 36 divisors (see below), whose sum is σ = 234360. Its totient is φ = 35200.

The previous prime is 97883. The next prime is 97919. The reversal of 97900 is 979.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 1056 + ... + 1144.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2⁹⁷⁹⁰⁰ 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 97900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117180).

97900 is an abundant number, since it is smaller than the sum of its proper divisors (136460).

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

97900 is a wasteful number, since it uses less digits than its factorization.

97900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 25.

The square root of 97900 is about 312.8897569432. The cubic root of 97900 is about 46.0886758275.

97900 divided by its sum of digits (25) gives a triangular number (3916 = T₈₈).

Multiplying 97900 by its reverse (979), we get a square (95844100 = 9790²).

97900 divided by its reverse (979) gives a square (100 = 10²).

The spelling of 97900 in words is "ninety-seven thousand, nine hundred".