772313 has 2 divisors, whose sum is σ = 772314. Its totient is φ = 772312.

The previous prime is 772297. The next prime is 772333. The reversal of 772313 is 313277.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 692224 + 80089 = 832^2 + 283^2 .

It is a cyclic number.

It is not a de Polignac number, because 772313 - 2⁴ = 772297 is a prime.

It is not a weakly prime, because it can be changed into another prime (772333) 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, 386156 + 386157.

It is an arithmetic number, because the mean of its divisors is an integer number (386157).

2⁷⁷²³¹³ is an apocalyptic number.

It is an amenable number.

772313 is a deficient number, since it is larger than the sum of its proper divisors (1).

772313 is an equidigital number, since it uses as much as digits as its factorization.

772313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 882, while the sum is 23.

The square root of 772313 is about 878.8134045405. The cubic root of 772313 is about 91.7482484006.

The spelling of 772313 in words is "seven hundred seventy-two thousand, three hundred thirteen".