232193 has 8 divisors (see below), whose sum is σ = 255528. Its totient is φ = 209664.

The previous prime is 232189. The next prime is 232207. The reversal of 232193 is 391232.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 223729 = 92^2 + 473^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 232193 - 2² = 232189 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232103) 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 7 ways as a sum of consecutive naturals, for example, 521 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (31941).

2²³²¹⁹³ is an apocalyptic number.

It is an amenable number.

232193 is a deficient number, since it is larger than the sum of its proper divisors (23335).

232193 is a wasteful number, since it uses less digits than its factorization.

232193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403.

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

The square root of 232193 is about 481.8640887221. The cubic root of 232193 is about 61.4633707895.

The spelling of 232193 in words is "two hundred thirty-two thousand, one hundred ninety-three".