13655538 has 54 divisors (see below), whose sum is σ = 32523309. Its totient is φ = 4138992.

The previous prime is 13655533. The next prime is 13655561. The reversal of 13655538 is 83555631.

It can be written as a sum of positive squares in 2 ways, for example, as 11675889 + 1979649 = 3417^2 + 1407^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2613.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13655533) 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 26 ways as a sum of consecutive naturals, for example, 203781 + ... + 203847.

Almost surely, 2^13655538 is an apocalyptic number.

13655538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13655538

13655538 is an abundant number, since it is smaller than the sum of its proper divisors (18867771).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13655538 is a wasteful number, since it uses less digits than its factorization.

13655538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 85 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 13655538 is about 3695.3400384809. The cubic root of 13655538 is about 239.0211170454.

It can be divided in two parts, 1365 and 5538, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 13655538 in words is "thirteen million, six hundred fifty-five thousand, five hundred thirty-eight".