13221432 has 96 divisors (see below), whose sum is σ = 42088800. Its totient is φ = 3670272.

The previous prime is 13221431. The next prime is 13221443. The reversal of 13221432 is 23412231.

13221432 is a `hidden beast` number, since 13 + 221 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221431) 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 23 ways as a sum of consecutive naturals, for example, 18294 + ... + 19002.

It is an arithmetic number, because the mean of its divisors is an integer number (438425).

Almost surely, 2^13221432 is an apocalyptic number.

13221432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21044400).

13221432 is an abundant number, since it is smaller than the sum of its proper divisors (28867368).

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

13221432 is a wasteful number, since it uses less digits than its factorization.

13221432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 758 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 13221432 is about 3636.1287105932. The cubic root of 13221432 is about 236.4609872969.

Adding to 13221432 its reverse (23412231), we get a palindrome (36633663).

It can be divided in two parts, 13 and 221432, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 13221432 in words is "thirteen million, two hundred twenty-one thousand, four hundred thirty-two".