80385313 has 2 divisors, whose sum is σ = 80385314. Its totient is φ = 80385312.

The previous prime is 80385293. The next prime is 80385323. The reversal of 80385313 is 31358308.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80138304 + 247009 = 8952^2 + 497^2 .

It is a cyclic number.

It is not a de Polignac number, because 80385313 - 2⁵ = 80385281 is a prime.

It is a super-2 number, since 2×80385313² = 12923597092215938, which contains 22 as substring.

It is equal to p_4690561 and since 80385313 and 4690561 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (80385323) 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, 40192656 + 40192657.

It is an arithmetic number, because the mean of its divisors is an integer number (40192657).

Almost surely, 2^80385313 is an apocalyptic number.

It is an amenable number.

80385313 is a deficient number, since it is larger than the sum of its proper divisors (1).

80385313 is an equidigital number, since it uses as much as digits as its factorization.

80385313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 80385313 is about 8965.7856878246. The cubic root of 80385313 is about 431.5776067532.

The spelling of 80385313 in words is "eighty million, three hundred eighty-five thousand, three hundred thirteen".