76309313 has 2 divisors, whose sum is σ = 76309314. Its totient is φ = 76309312.

The previous prime is 76309291. The next prime is 76309319. The reversal of 76309313 is 31390367.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69089344 + 7219969 = 8312^2 + 2687^2 .

It is an emirp because it is prime and its reverse (31390367) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 76309313 - 2¹⁰ = 76308289 is a prime.

It is a super-3 number, since 3×76309313³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 76309313.

It is not a weakly prime, because it can be changed into another prime (76309319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38154656 + 38154657.

It is an arithmetic number, because the mean of its divisors is an integer number (38154657).

Almost surely, 2^76309313 is an apocalyptic number.

It is an amenable number.

76309313 is a deficient number, since it is larger than the sum of its proper divisors (1).

76309313 is an equidigital number, since it uses as much as digits as its factorization.

76309313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 32.

The square root of 76309313 is about 8735.5201905782. The cubic root of 76309313 is about 424.1562276581.

The spelling of 76309313 in words is "seventy-six million, three hundred nine thousand, three hundred thirteen".