197352 has 24 divisors (see below), whose sum is σ = 534690. Its totient is φ = 65760.

The previous prime is 197347. The next prime is 197359. The reversal of 197352 is 253791.

It can be written as a sum of positive squares in only one way, i.e., 181476 + 15876 = 426^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (197359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1299 + ... + 1442.

2¹⁹⁷³⁵² is an apocalyptic number.

197352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

197352 is an abundant number, since it is smaller than the sum of its proper divisors (337338).

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

197352 is a wasteful number, since it uses less digits than its factorization.

197352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2746 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 197352 is about 444.2431766499. The cubic root of 197352 is about 58.2211139604.

It can be divided in two parts, 1973 and 52, that added together give a square (2025 = 45²).

The spelling of 197352 in words is "one hundred ninety-seven thousand, three hundred fifty-two".