13800307 has 2 divisors, whose sum is σ = 13800308. Its totient is φ = 13800306.

The previous prime is 13800221. The next prime is 13800329. The reversal of 13800307 is 70300831.

It is an a-pointer prime, because the next prime (13800329) can be obtained adding 13800307 to its sum of digits (22).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13800307 - 2⁷ = 13800179 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13890307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6900153 + 6900154.

It is an arithmetic number, because the mean of its divisors is an integer number (6900154).

Almost surely, 2^13800307 is an apocalyptic number.

13800307 is a deficient number, since it is larger than the sum of its proper divisors (1).

13800307 is an equidigital number, since it uses as much as digits as its factorization.

13800307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 13800307 is about 3714.8764447825. The cubic root of 13800307 is about 239.8628093244.

It can be divided in two parts, 1380030 and 7, that multiplied together give a triangular number (9660210 = T₄₃₉₅).

The spelling of 13800307 in words is "thirteen million, eight hundred thousand, three hundred seven".