197112 has 32 divisors (see below), whose sum is σ = 506880. Its totient is φ = 63840.

The previous prime is 197101. The next prime is 197117. The reversal of 197112 is 211791.

It is a zygodrome in base 2.

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 197112.

It is not an unprimeable number, because it can be changed into a prime (197117) by changing a digit.

197112 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 7 ways as a sum of consecutive naturals, for example, 937 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2¹⁹⁷¹¹² is an apocalyptic number.

197112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253440).

197112 is an abundant number, since it is smaller than the sum of its proper divisors (309768).

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

197112 is a wasteful number, since it uses less digits than its factorization.

197112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its digits is 126, while the sum is 21.

The square root of 197112 is about 443.9729721503. The cubic root of 197112 is about 58.1975034651.

The spelling of 197112 in words is "one hundred ninety-seven thousand, one hundred twelve".