197824 has 28 divisors (see below), whose sum is σ = 429768. Its totient is φ = 89600.

The previous prime is 197807. The next prime is 197831. The reversal of 197824 is 428791.

It is an unprimeable number.

197824 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 564 + ... + 844.

2¹⁹⁷⁸²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214884).

197824 is an abundant number, since it is smaller than the sum of its proper divisors (231944).

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

197824 is a wasteful number, since it uses less digits than its factorization.

197824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 197824 is about 444.7740999654. The cubic root of 197824 is about 58.2674921525.

It can be divided in two parts, 1978 and 24, that added together give a palindrome (2002).

The spelling of 197824 in words is "one hundred ninety-seven thousand, eight hundred twenty-four".