197982 has 24 divisors (see below), whose sum is σ = 454896. Its totient is φ = 62016.

The previous prime is 197971. The next prime is 198013. The reversal of 197982 is 289791.

It is a happy number.

197982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

197982 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 11 ways as a sum of consecutive naturals, for example, 18 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (18954).

2¹⁹⁷⁹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227448).

197982 is an abundant number, since it is smaller than the sum of its proper divisors (256914).

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

197982 is a wasteful number, since it uses less digits than its factorization.

197982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 669 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 197982 is about 444.9516827702. The cubic root of 197982 is about 58.2830005739.

Subtracting 197982 from its reverse (289791), we obtain a square (91809 = 303²).

It can be divided in two parts, 19 and 7982, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 197982 in words is "one hundred ninety-seven thousand, nine hundred eighty-two".