13835382 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 3674880.

The previous prime is 13835377. The next prime is 13835383. The reversal of 13835382 is 28353831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13835383) 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 47 ways as a sum of consecutive naturals, for example, 234469 + ... + 234527.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^13835382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13835382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

13835382 is an abundant number, since it is smaller than the sum of its proper divisors (20638218).

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

13835382 is a wasteful number, since it uses less digits than its factorization.

13835382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 13835382 is about 3719.5943327196. The cubic root of 13835382 is about 240.0658499863.

It can be divided in two parts, 1 and 3835382, that added together give a palindrome (3835383).

The spelling of 13835382 in words is "thirteen million, eight hundred thirty-five thousand, three hundred eighty-two".