314309993 has 2 divisors, whose sum is σ = 314309994. Its totient is φ = 314309992.

The previous prime is 314309969. The next prime is 314310001. The reversal of 314309993 is 399903413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286726489 + 27583504 = 16933^2 + 5252^2 .

It is a cyclic number.

It is not a de Polignac number, because 314309993 - 2¹² = 314305897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314309993.

It is not a weakly prime, because it can be changed into another prime (314309293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157154996 + 157154997.

It is an arithmetic number, because the mean of its divisors is an integer number (157154997).

Almost surely, 2^314309993 is an apocalyptic number.

It is an amenable number.

314309993 is a deficient number, since it is larger than the sum of its proper divisors (1).

314309993 is an equidigital number, since it uses as much as digits as its factorization.

314309993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78732, while the sum is 41.

The square root of 314309993 is about 17728.7899474273. The cubic root of 314309993 is about 679.9120366321.

The spelling of 314309993 in words is "three hundred fourteen million, three hundred nine thousand, nine hundred ninety-three".