13782505 has 32 divisors (see below), whose sum is σ = 19324800. Its totient is φ = 9408960.

The previous prime is 13782499. The next prime is 13782551. The reversal of 13782505 is 50528731.

13782505 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 13782505 - 2¹¹ = 13780457 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 126391 + ... + 126499.

It is an arithmetic number, because the mean of its divisors is an integer number (603900).

Almost surely, 2^13782505 is an apocalyptic number.

It is an amenable number.

13782505 is a deficient number, since it is larger than the sum of its proper divisors (5542295).

13782505 is a wasteful number, since it uses less digits than its factorization.

13782505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 13782505 is about 3712.4796295737. The cubic root of 13782505 is about 239.7596262304.

It can be divided in two parts, 1378 and 2505, that added together give a palindrome (3883).

The spelling of 13782505 in words is "thirteen million, seven hundred eighty-two thousand, five hundred five".