13638735 has 48 divisors (see below), whose sum is σ = 26282880. Its totient is φ = 6486720.

The previous prime is 13638707. The next prime is 13638739. The reversal of 13638735 is 53783631.

13638735 is a `hidden beast` number, since 13 + 638 + 7 + 3 + 5 = 666.

It is not a de Polignac number, because 13638735 - 2⁸ = 13638479 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13638735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13638739) 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, 28972 + ... + 29438.

It is an arithmetic number, because the mean of its divisors is an integer number (547560).

Almost surely, 2^13638735 is an apocalyptic number.

13638735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13638735 is a deficient number, since it is larger than the sum of its proper divisors (12644145).

13638735 is a wasteful number, since it uses less digits than its factorization.

13638735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 545 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 13638735 is about 3693.0657995763. The cubic root of 13638735 is about 238.9230391256.

Subtracting 13638735 from its reverse (53783631), we obtain a square (40144896 = 6336²).

The spelling of 13638735 in words is "thirteen million, six hundred thirty-eight thousand, seven hundred thirty-five".