768193 has 2 divisors, whose sum is σ = 768194. Its totient is φ = 768192.

The previous prime is 768191. The next prime is 768197. The reversal of 768193 is 391867.

768193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 473344 + 294849 = 688^2 + 543^2 .

It is a cyclic number.

It is not a de Polignac number, because 768193 - 2¹ = 768191 is a prime.

Together with 768191, it forms a pair of twin primes.

768193 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (768191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384096 + 384097.

It is an arithmetic number, because the mean of its divisors is an integer number (384097).

2⁷⁶⁸¹⁹³ is an apocalyptic number.

It is an amenable number.

768193 is a deficient number, since it is larger than the sum of its proper divisors (1).

768193 is an equidigital number, since it uses as much as digits as its factorization.

768193 is an evil number, because the sum of its binary digits is even.

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

The square root of 768193 is about 876.4662001469. The cubic root of 768193 is about 91.5848099371.

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

The spelling of 768193 in words is "seven hundred sixty-eight thousand, one hundred ninety-three".