13782583 has 2 divisors, whose sum is σ = 13782584. Its totient is φ = 13782582.

The previous prime is 13782557. The next prime is 13782647. The reversal of 13782583 is 38528731.

13782583 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13782583 - 2⁵ = 13782551 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13782553) 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, 6891291 + 6891292.

It is an arithmetic number, because the mean of its divisors is an integer number (6891292).

Almost surely, 2^13782583 is an apocalyptic number.

13782583 is a deficient number, since it is larger than the sum of its proper divisors (1).

13782583 is an equidigital number, since it uses as much as digits as its factorization.

13782583 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 37.

The square root of 13782583 is about 3712.4901346670. The cubic root of 13782583 is about 239.7600785240.

It can be divided in two parts, 13782 and 583, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 13782583 in words is "thirteen million, seven hundred eighty-two thousand, five hundred eighty-three".