782706313 has 2 divisors, whose sum is σ = 782706314. Its totient is φ = 782706312.

The previous prime is 782706283. The next prime is 782706329. The reversal of 782706313 is 313607287.

782706313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 782432784 + 273529 = 27972^2 + 523^2 .

It is a cyclic number.

It is not a de Polignac number, because 782706313 - 2²⁵ = 749151881 is a prime.

It is a super-2 number, since 2×782706313² = 1225258344820107938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (782706013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391353156 + 391353157.

It is an arithmetic number, because the mean of its divisors is an integer number (391353157).

Almost surely, 2^782706313 is an apocalyptic number.

It is an amenable number.

782706313 is a deficient number, since it is larger than the sum of its proper divisors (1).

782706313 is an equidigital number, since it uses as much as digits as its factorization.

782706313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 782706313 is about 27976.8889085259. Note that the first 3 decimals coincide. The cubic root of 782706313 is about 921.5797970868.

The spelling of 782706313 in words is "seven hundred eighty-two million, seven hundred six thousand, three hundred thirteen".