767313 has 10 divisors (see below), whose sum is σ = 1146354. Its totient is φ = 511488.

The previous prime is 767309. The next prime is 767317. The reversal of 767313 is 313767.

It is an interprime number because it is at equal distance from previous prime (767309) and next prime (767317).

It can be written as a sum of positive squares in only one way, i.e., 762129 + 5184 = 873^2 + 72^2 .

It is not a de Polignac number, because 767313 - 2² = 767309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (767317) 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 in 9 ways as a sum of consecutive naturals, for example, 4656 + ... + 4817.

2⁷⁶⁷³¹³ is an apocalyptic number.

It is an amenable number.

767313 is a deficient number, since it is larger than the sum of its proper divisors (379041).

767313 is an equidigital number, since it uses as much as digits as its factorization.

767313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9476 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 767313 is about 875.9640403578. The cubic root of 767313 is about 91.5498250538.

The spelling of 767313 in words is "seven hundred sixty-seven thousand, three hundred thirteen".