197280 has 72 divisors (see below), whose sum is σ = 678132. Its totient is φ = 52224.

The previous prime is 197279. The next prime is 197293. The reversal of 197280 is 82791.

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 144 = 444^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1372 + ... + 1508.

2¹⁹⁷²⁸⁰ is an apocalyptic number.

197280 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 197280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339066).

197280 is an abundant number, since it is smaller than the sum of its proper divisors (480852).

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

197280 is a wasteful number, since it uses less digits than its factorization.

197280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 197280 is about 444.1621325597. The cubic root of 197280 is about 58.2140328227.

The spelling of 197280 in words is "one hundred ninety-seven thousand, two hundred eighty".