13782107 has 2 divisors, whose sum is σ = 13782108. Its totient is φ = 13782106.

The previous prime is 13782089. The next prime is 13782113. The reversal of 13782107 is 70128731.

13782107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13782107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13782107.

It is not a weakly prime, because it can be changed into another prime (13782137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6891053 + 6891054.

It is an arithmetic number, because the mean of its divisors is an integer number (6891054).

Almost surely, 2^13782107 is an apocalyptic number.

13782107 is a deficient number, since it is larger than the sum of its proper divisors (1).

13782107 is an equidigital number, since it uses as much as digits as its factorization.

13782107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 13782107 is about 3712.4260261990. The cubic root of 13782107 is about 239.7573183468.

The spelling of 13782107 in words is "thirteen million, seven hundred eighty-two thousand, one hundred seven".