13285638 has 24 divisors (see below), whose sum is σ = 28938000. Its totient is φ = 4405104.

The previous prime is 13285633. The next prime is 13285663. The reversal of 13285638 is 83658231.

13285638 is a `hidden beast` number, since 13 + 2 + 8 + 5 + 638 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13285633) 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 11 ways as a sum of consecutive naturals, for example, 1728 + ... + 5436.

It is an arithmetic number, because the mean of its divisors is an integer number (1205750).

Almost surely, 2^13285638 is an apocalyptic number.

13285638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13285638 is an abundant number, since it is smaller than the sum of its proper divisors (15652362).

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

13285638 is a wasteful number, since it uses less digits than its factorization.

13285638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3913 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13285638 is about 3644.9469131937. The cubic root of 13285638 is about 236.8431371339.

The spelling of 13285638 in words is "thirteen million, two hundred eighty-five thousand, six hundred thirty-eight".