823809313 has 2 divisors, whose sum is σ = 823809314. Its totient is φ = 823809312.

The previous prime is 823809299. The next prime is 823809323. The reversal of 823809313 is 313908328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 821223649 + 2585664 = 28657^2 + 1608^2 .

It is a cyclic number.

It is not a de Polignac number, because 823809313 - 2²¹ = 821712161 is a prime.

It is not a weakly prime, because it can be changed into another prime (823809323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411904656 + 411904657.

It is an arithmetic number, because the mean of its divisors is an integer number (411904657).

Almost surely, 2^823809313 is an apocalyptic number.

It is an amenable number.

823809313 is a deficient number, since it is larger than the sum of its proper divisors (1).

823809313 is an equidigital number, since it uses as much as digits as its factorization.

823809313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 823809313 is about 28702.0785484257. The cubic root of 823809313 is about 937.4373056267.

The spelling of 823809313 in words is "eight hundred twenty-three million, eight hundred nine thousand, three hundred thirteen".