197120 has 80 divisors (see below), whose sum is σ = 589248. Its totient is φ = 61440.

The previous prime is 197117. The next prime is 197123. The reversal of 197120 is 21791.

It is an interprime number because it is at equal distance from previous prime (197117) and next prime (197123).

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 197092 and 197101.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 197120.

It is not an unprimeable number, because it can be changed into a prime (197123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17915 + ... + 17925.

2¹⁹⁷¹²⁰ is an apocalyptic number.

197120 is a gapful number since it is divisible by the number (10) 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 197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294624).

197120 is an abundant number, since it is smaller than the sum of its proper divisors (392128).

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

197120 is an equidigital number, since it uses as much as digits as its factorization.

197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 197120 is about 443.9819816164. The cubic root of 197120 is about 58.1982907903.

It can be divided in two parts, 1971 and 20, that added together give a palindrome (1991).

The spelling of 197120 in words is "one hundred ninety-seven thousand, one hundred twenty".