9997000313 has 2 divisors, whose sum is σ = 9997000314. Its totient is φ = 9997000312.

The previous prime is 9997000283. The next prime is 9997000327. The reversal of 9997000313 is 3130007999.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9699886144 + 297114169 = 98488^2 + 17237^2 .

It is a cyclic number.

It is not a de Polignac number, because 9997000313 - 2¹⁴ = 9996983929 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9997000213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4998500156 + 4998500157.

It is an arithmetic number, because the mean of its divisors is an integer number (4998500157).

Almost surely, 2^9997000313 is an apocalyptic number.

It is an amenable number.

9997000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

9997000313 is an equidigital number, since it uses as much as digits as its factorization.

9997000313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45927, while the sum is 41.

The square root of 9997000313 is about 99985.0004400660. Note that the first 3 decimals coincide. The cubic root of 9997000313 is about 2154.2192474974.

The spelling of 9997000313 in words is "nine billion, nine hundred ninety-seven million, three hundred thirteen", and thus it is an aban number.