197759952 has 120 divisors (see below), whose sum is σ = 600873000. Its totient is φ = 60355584.

The previous prime is 197759941. The next prime is 197759953. The reversal of 197759952 is 259957791.

197759952 is digitally balanced in base 2, 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 4 ways, for example, as 9960336 + 187799616 = 3156^2 + 13704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197759953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278574 + ... + 279282.

It is an arithmetic number, because the mean of its divisors is an integer number (5007275).

Almost surely, 2^197759952 is an apocalyptic number.

197759952 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 197759952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300436500).

197759952 is an abundant number, since it is smaller than the sum of its proper divisors (403113048).

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

197759952 is a wasteful number, since it uses less digits than its factorization.

197759952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 876 counting only the distinct ones).

The product of its digits is 1786050, while the sum is 54.

The square root of 197759952 is about 14062.7149583571. The cubic root of 197759952 is about 582.6120319676.

The spelling of 197759952 in words is "one hundred ninety-seven million, seven hundred fifty-nine thousand, nine hundred fifty-two".