197191200 has 72 divisors (see below), whose sum is σ = 641865168. Its totient is φ = 52583680.

The previous prime is 197191199. The next prime is 197191201. The reversal of 197191200 is 2191791.

It is an interprime number because it is at equal distance from previous prime (197191199) and next prime (197191201).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (197191201) by changing a digit.

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, 38682 + ... + 43481.

It is an arithmetic number, because the mean of its divisors is an integer number (8914794).

Almost surely, 2^197191200 is an apocalyptic number.

197191200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

197191200 is an abundant number, since it is smaller than the sum of its proper divisors (444673968).

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

197191200 is a wasteful number, since it uses less digits than its factorization.

197191200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82186 (or 82173 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 197191200 is about 14042.4784137274. The cubic root of 197191200 is about 582.0529704625.

The spelling of 197191200 in words is "one hundred ninety-seven million, one hundred ninety-one thousand, two hundred".