13785313 has 2 divisors, whose sum is σ = 13785314. Its totient is φ = 13785312.

The previous prime is 13785301. The next prime is 13785323. The reversal of 13785313 is 31358731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13630864 + 154449 = 3692^2 + 393^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13785313 is a prime.

It is not a weakly prime, because it can be changed into another prime (13785323) 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, 6892656 + 6892657.

It is an arithmetic number, because the mean of its divisors is an integer number (6892657).

Almost surely, 2^13785313 is an apocalyptic number.

It is an amenable number.

13785313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13785313 is an equidigital number, since it uses as much as digits as its factorization.

13785313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

The square root of 13785313 is about 3712.8577942065. The cubic root of 13785313 is about 239.7759077243.

The spelling of 13785313 in words is "thirteen million, seven hundred eighty-five thousand, three hundred thirteen".