197712000 has 192 divisors, whose sum is σ = 710550360. Its totient is φ = 52684800.

The previous prime is 197711999. The next prime is 197712013. The reversal of 197712000 is 217791.

It can be written as a sum of positive squares in 4 ways, for example, as 123476544 + 74235456 = 11112^2 + 8616^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 143314 + ... + 144686.

Almost surely, 2^197712000 is an apocalyptic number.

197712000 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 197712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355275180).

197712000 is an abundant number, since it is smaller than the sum of its proper divisors (512838360).

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

197712000 is a wasteful number, since it uses less digits than its factorization.

197712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 197712000 is about 14061.0099210547. The cubic root of 197712000 is about 582.5649383907.

Adding to 197712000 its reverse (217791), we get a palindrome (197929791).

The spelling of 197712000 in words is "one hundred ninety-seven million, seven hundred twelve thousand".