80002313 has 2 divisors, whose sum is σ = 80002314. Its totient is φ = 80002312.

The previous prime is 80002277. The next prime is 80002327. The reversal of 80002313 is 31320008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60403984 + 19598329 = 7772^2 + 4427^2 .

It is a cyclic number.

It is not a de Polignac number, because 80002313 - 2²⁰ = 78953737 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 80002291 and 80002300.

It is not a weakly prime, because it can be changed into another prime (80002513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40001156 + 40001157.

It is an arithmetic number, because the mean of its divisors is an integer number (40001157).

Almost surely, 2^80002313 is an apocalyptic number.

It is an amenable number.

80002313 is a deficient number, since it is larger than the sum of its proper divisors (1).

80002313 is an equidigital number, since it uses as much as digits as its factorization.

80002313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 80002313 is about 8944.4012096954. The cubic root of 80002313 is about 430.8910906392.

The spelling of 80002313 in words is "eighty million, two thousand, three hundred thirteen".