13185438 has 64 divisors (see below), whose sum is σ = 32555520. Its totient is φ = 3474432.

The previous prime is 13185413. The next prime is 13185443. The reversal of 13185438 is 83458131.

13185438 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13185399 and 13185408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41970 + ... + 42282.

It is an arithmetic number, because the mean of its divisors is an integer number (508680).

Almost surely, 2^13185438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13185438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277760).

13185438 is an abundant number, since it is smaller than the sum of its proper divisors (19370082).

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

13185438 is a wasteful number, since it uses less digits than its factorization.

13185438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

The product of its digits is 11520, while the sum is 33.

The square root of 13185438 is about 3631.1758426163. The cubic root of 13185438 is about 236.2462119714.

The spelling of 13185438 in words is "thirteen million, one hundred eighty-five thousand, four hundred thirty-eight".