193232 has 20 divisors (see below), whose sum is σ = 403620. Its totient is φ = 89088.

The previous prime is 193201. The next prime is 193243. The reversal of 193232 is 232391.

193232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13456 + 179776 = 116^2 + 424^2 .

It is a congruent number.

It is an unprimeable number.

193232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 257 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (20181).

2¹⁹³²³² is an apocalyptic number.

It is an amenable number.

193232 is an abundant number, since it is smaller than the sum of its proper divisors (210388).

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

193232 is a wasteful number, since it uses less digits than its factorization.

193232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 193232 is about 439.5816192700. The cubic root of 193232 is about 57.8131122896.

The spelling of 193232 in words is "one hundred ninety-three thousand, two hundred thirty-two".