197984 has 24 divisors (see below), whose sum is σ = 408240. Its totient is φ = 94336.

The previous prime is 197971. The next prime is 198013. The reversal of 197984 is 489791.

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 197984.

It is an unprimeable number.

197984 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, 602 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2¹⁹⁷⁹⁸⁴ 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 197984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204120).

197984 is an abundant number, since it is smaller than the sum of its proper divisors (210256).

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

197984 is a wasteful number, since it uses less digits than its factorization.

197984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its digits is 18144, while the sum is 38.

The square root of 197984 is about 444.9539301995. The cubic root of 197984 is about 58.2831968302.

The spelling of 197984 in words is "one hundred ninety-seven thousand, nine hundred eighty-four".