765313 has 2 divisors, whose sum is σ = 765314. Its totient is φ = 765312.

The previous prime is 765307. The next prime is 765319. The reversal of 765313 is 313567.

It is a happy number.

765313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (765307) and next prime (765319).

It can be written as a sum of positive squares in only one way, i.e., 565504 + 199809 = 752^2 + 447^2 .

It is an emirp because it is prime and its reverse (313567) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 765313 - 2¹⁷ = 634241 is a prime.

765313 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (765319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 382656 + 382657.

It is an arithmetic number, because the mean of its divisors is an integer number (382657).

2⁷⁶⁵³¹³ is an apocalyptic number.

It is an amenable number.

765313 is a deficient number, since it is larger than the sum of its proper divisors (1).

765313 is an equidigital number, since it uses as much as digits as its factorization.

765313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1890, while the sum is 25.

The square root of 765313 is about 874.8216961187. The cubic root of 765313 is about 91.4702143587.

The spelling of 765313 in words is "seven hundred sixty-five thousand, three hundred thirteen".