97998000 has 80 divisors (see below), whose sum is σ = 315964896. Its totient is φ = 26131200.

The previous prime is 97997971. The next prime is 97998001. The reversal of 97998000 is 89979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (97998001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2167 + ... + 14166.

Almost surely, 2^97998000 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 97998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157982448).

97998000 is an abundant number, since it is smaller than the sum of its proper divisors (217966896).

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

97998000 is a wasteful number, since it uses less digits than its factorization.

97998000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16359 (or 16343 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 97998000 is about 9899.3939208418. The cubic root of 97998000 is about 461.0404928333.

The spelling of 97998000 in words is "ninety-seven million, nine hundred ninety-eight thousand".