768353 has 2 divisors, whose sum is σ = 768354. Its totient is φ = 768352.

The previous prime is 768347. The next prime is 768359. The reversal of 768353 is 353867.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (768347) and next prime (768359).

It can be written as a sum of positive squares in only one way, i.e., 559504 + 208849 = 748^2 + 457^2 .

It is an emirp because it is prime and its reverse (353867) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 768353 - 2¹⁴ = 751969 is a prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (768359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 384176 + 384177.

It is an arithmetic number, because the mean of its divisors is an integer number (384177).

2⁷⁶⁸³⁵³ is an apocalyptic number.

It is an amenable number.

768353 is a deficient number, since it is larger than the sum of its proper divisors (1).

768353 is an equidigital number, since it uses as much as digits as its factorization.

768353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 32.

The square root of 768353 is about 876.5574710194. The cubic root of 768353 is about 91.5911679540.

The spelling of 768353 in words is "seven hundred sixty-eight thousand, three hundred fifty-three".