193768 has 16 divisors (see below), whose sum is σ = 370980. Its totient is φ = 94848.

The previous prime is 193763. The next prime is 193771. The reversal of 193768 is 867391.

It can be written as a sum of positive squares in 2 ways, for example, as 174724 + 19044 = 418^2 + 138^2 .

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (193763) by changing a digit.

193768 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, 196 + ... + 652.

2¹⁹³⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

193768 is a deficient number, since it is larger than the sum of its proper divisors (177212).

193768 is a wasteful number, since it uses less digits than its factorization.

193768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 193768 is about 440.1908676926. The cubic root of 193768 is about 57.8665182476.

It can be divided in two parts, 193 and 768, that added together give a square (961 = 31²).

The spelling of 193768 in words is "one hundred ninety-three thousand, seven hundred sixty-eight".