197972 has 12 divisors (see below), whose sum is σ = 354816. Its totient is φ = 96600.

The previous prime is 197971. The next prime is 198013. The reversal of 197972 is 279791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 404 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (29568).

2¹⁹⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

197972 is a deficient number, since it is larger than the sum of its proper divisors (156844).

197972 is a wasteful number, since it uses less digits than its factorization.

197972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1196 counting only the distinct ones).

The product of its digits is 7938, while the sum is 35.

The square root of 197972 is about 444.9404454531. The cubic root of 197972 is about 58.2820192729.

The spelling of 197972 in words is "one hundred ninety-seven thousand, nine hundred seventy-two".