782949313 has 2 divisors, whose sum is σ = 782949314. Its totient is φ = 782949312.

The previous prime is 782949259. The next prime is 782949353. The reversal of 782949313 is 313949287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 452327824 + 330621489 = 21268^2 + 18183^2 .

It is a cyclic number.

It is not a de Polignac number, because 782949313 - 2²¹ = 780852161 is a prime.

It is a super-2 number, since 2×782949313² = 1226019253454343938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (782949353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391474656 + 391474657.

It is an arithmetic number, because the mean of its divisors is an integer number (391474657).

Almost surely, 2^782949313 is an apocalyptic number.

It is an amenable number.

782949313 is a deficient number, since it is larger than the sum of its proper divisors (1).

782949313 is an equidigital number, since it uses as much as digits as its factorization.

782949313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 326592, while the sum is 46.

The square root of 782949313 is about 27981.2314418076. The cubic root of 782949313 is about 921.6751588318.

The spelling of 782949313 in words is "seven hundred eighty-two million, nine hundred forty-nine thousand, three hundred thirteen".