13826232 has 72 divisors (see below), whose sum is σ = 43570800. Its totient is φ = 3949344.

The previous prime is 13826221. The next prime is 13826233. The reversal of 13826232 is 23262831.

13826232 is a `hidden beast` number, since 1 + 38 + 2 + 623 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13826196 and 13826205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13826233) 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 17 ways as a sum of consecutive naturals, for example, 1569 + ... + 5487.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 2^13826232 is an apocalyptic number.

13826232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

13826232 is the 2352-nd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13826232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21785400).

13826232 is an abundant number, since it is smaller than the sum of its proper divisors (29744568).

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

13826232 is a wasteful number, since it uses less digits than its factorization.

13826232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3931 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13826232 is about 3718.3641564537. The cubic root of 13826232 is about 240.0129159716.

The spelling of 13826232 in words is "thirteen million, eight hundred twenty-six thousand, two hundred thirty-two".