197632 has 22 divisors (see below), whose sum is σ = 397118. Its totient is φ = 98304.

The previous prime is 197621. The next prime is 197641. The reversal of 197632 is 236791.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 50176 = 384^2 + 224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 197632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 928 + ... + 1120.

197632 is a Friedman number, since it can be written as 2^6*(9*7^3+1), using all its digits and the basic arithmetic operations.

2¹⁹⁷⁶³² 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 197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198559).

197632 is an abundant number, since it is smaller than the sum of its proper divisors (199486).

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

197632 is an equidigital number, since it uses as much as digits as its factorization.

197632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 197632 is about 444.5582076624. The cubic root of 197632 is about 58.2486353576.

Subtracting from 197632 its product of digits (2268), we obtain a square (195364 = 442²).

The spelling of 197632 in words is "one hundred ninety-seven thousand, six hundred thirty-two".