93129313 has 2 divisors, whose sum is σ = 93129314. Its totient is φ = 93129312.

The previous prime is 93129307. The next prime is 93129329. The reversal of 93129313 is 31392139.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73839649 + 19289664 = 8593^2 + 4392^2 .

It is an emirp because it is prime and its reverse (31392139) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 93129313 - 2²⁵ = 59574881 is a prime.

It is not a weakly prime, because it can be changed into another prime (93129343) 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, 46564656 + 46564657.

It is an arithmetic number, because the mean of its divisors is an integer number (46564657).

Almost surely, 2^93129313 is an apocalyptic number.

It is an amenable number.

93129313 is a deficient number, since it is larger than the sum of its proper divisors (1).

93129313 is an equidigital number, since it uses as much as digits as its factorization.

93129313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 31.

The square root of 93129313 is about 9650.3529987250. The cubic root of 93129313 is about 453.2753825265.

The spelling of 93129313 in words is "ninety-three million, one hundred twenty-nine thousand, three hundred thirteen".