197191296 has 96 divisors (see below), whose sum is σ = 600876900. Its totient is φ = 61857792.

The previous prime is 197191283. The next prime is 197191307. The reversal of 197191296 is 692191791.

It can be written as a sum of positive squares in 2 ways, for example, as 197121600 + 69696 = 14040^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 14550 + ... + 24618.

Almost surely, 2^197191296 is an apocalyptic number.

197191296 is a gapful number since it is divisible by the number (16) 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 197191296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300438450).

197191296 is an abundant number, since it is smaller than the sum of its proper divisors (403685604).

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

197191296 is a wasteful number, since it uses less digits than its factorization.

197191296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106 (or 10091 counting only the distinct ones).

The product of its digits is 61236, while the sum is 45.

The square root of 197191296 is about 14042.4818319270. The cubic root of 197191296 is about 582.0530649175.

The spelling of 197191296 in words is "one hundred ninety-seven million, one hundred ninety-one thousand, two hundred ninety-six".