13782807 has 12 divisors (see below), whose sum is σ = 20133360. Its totient is φ = 9084768.

The previous prime is 13782793. The next prime is 13782829. The reversal of 13782807 is 70828731.

13782807 is a `hidden beast` number, since 1 + 378 + 280 + 7 = 666.

13782807 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13782807 - 2⁷ = 13782679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782877) 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 in 11 ways as a sum of consecutive naturals, for example, 7803 + ... + 9404.

It is an arithmetic number, because the mean of its divisors is an integer number (1677780).

Almost surely, 2^13782807 is an apocalyptic number.

13782807 is a deficient number, since it is larger than the sum of its proper divisors (6350553).

13782807 is a wasteful number, since it uses less digits than its factorization.

13782807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17302 (or 17299 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 13782807 is about 3712.5203029748. The cubic root of 13782807 is about 239.7613774089.

It can be divided in two parts, 137 and 82807, that added together give a square (82944 = 288²).

The spelling of 13782807 in words is "thirteen million, seven hundred eighty-two thousand, eight hundred seven".