197583872 has 44 divisors (see below), whose sum is σ = 397813980. Its totient is φ = 98082816.

The previous prime is 197583857. The next prime is 197583889. The reversal of 197583872 is 278385791.

197583872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 142468096 + 55115776 = 11936^2 + 7424^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 197583872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160154 + ... + 161382.

Almost surely, 2^197583872 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 197583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198906990).

197583872 is an abundant number, since it is smaller than the sum of its proper divisors (200230108).

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

197583872 is a wasteful number, since it uses less digits than its factorization.

197583872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1388 counting only the distinct ones).

The product of its digits is 846720, while the sum is 50.

The square root of 197583872 is about 14056.4530376621. The cubic root of 197583872 is about 582.4390667349.

The spelling of 197583872 in words is "one hundred ninety-seven million, five hundred eighty-three thousand, eight hundred seventy-two".