13838032 has 20 divisors (see below), whose sum is σ = 28874020. Its totient is φ = 6386688.

The previous prime is 13838021. The next prime is 13838063. The reversal of 13838032 is 23083831.

It can be written as a sum of positive squares in 2 ways, for example, as 6677056 + 7160976 = 2584^2 + 2676^2 .

It is a super-2 number, since 2×13838032² = 382982259266048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 33057 + ... + 33472.

It is an arithmetic number, because the mean of its divisors is an integer number (1443701).

Almost surely, 2^13838032 is an apocalyptic number.

It is an amenable number.

13838032 is an abundant number, since it is smaller than the sum of its proper divisors (15035988).

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

13838032 is a wasteful number, since it uses less digits than its factorization.

13838032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66550 (or 66544 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 13838032 is about 3719.9505373056. The cubic root of 13838032 is about 240.0811762440.

The spelling of 13838032 in words is "thirteen million, eight hundred thirty-eight thousand, thirty-two".