13782087 has 48 divisors (see below), whose sum is σ = 24261120. Its totient is φ = 7430400.

The previous prime is 13782077. The next prime is 13782089. The reversal of 13782087 is 78028731.

It is not a de Polignac number, because 13782087 - 2⁴ = 13782071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782089) 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 in 47 ways as a sum of consecutive naturals, for example, 31762 + ... + 32192.

It is an arithmetic number, because the mean of its divisors is an integer number (505440).

Almost surely, 2^13782087 is an apocalyptic number.

13782087 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13782087 is a deficient number, since it is larger than the sum of its proper divisors (10479033).

13782087 is a wasteful number, since it uses less digits than its factorization.

13782087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 481 counting only the distinct ones).

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

The square root of 13782087 is about 3712.4233325417. The cubic root of 13782087 is about 239.7572023716.

The spelling of 13782087 in words is "thirteen million, seven hundred eighty-two thousand, eighty-seven".