230193 has 6 divisors (see below), whose sum is σ = 332514. Its totient is φ = 153456.

The previous prime is 230189. The next prime is 230203. The reversal of 230193 is 391032.

It can be written as a sum of positive squares in only one way, i.e., 138384 + 91809 = 372^2 + 303^2 .

It is not a de Polignac number, because 230193 - 2² = 230189 is a prime.

It is a Curzon number.

230193 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 230193.

It is not an unprimeable number, because it can be changed into a prime (230123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12780 + ... + 12797.

It is an arithmetic number, because the mean of its divisors is an integer number (55419).

2²³⁰¹⁹³ is an apocalyptic number.

It is an amenable number.

230193 is a deficient number, since it is larger than the sum of its proper divisors (102321).

230193 is a wasteful number, since it uses less digits than its factorization.

230193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25583 (or 25580 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 230193 is about 479.7843265468. The cubic root of 230193 is about 61.2863895936.

The spelling of 230193 in words is "two hundred thirty thousand, one hundred ninety-three".