13224132 has 36 divisors (see below), whose sum is σ = 33767916. Its totient is φ = 4363200.

The previous prime is 13224131. The next prime is 13224137. The reversal of 13224132 is 23142231.

It can be written as a sum of positive squares in 2 ways, for example, as 6380676 + 6843456 = 2526^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 not an unprimeable number, because it can be changed into a prime (13224131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1818 + ... + 5454.

Almost surely, 2^13224132 is an apocalyptic number.

13224132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3636×3637.

It is an amenable number.

13224132 is an abundant number, since it is smaller than the sum of its proper divisors (20543784).

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

13224132 is a wasteful number, since it uses less digits than its factorization.

13224132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3743 counting only the distinct ones).

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

The square root of 13224132 is about 3636.4999656263. The cubic root of 13224132 is about 236.4770824070.

Adding to 13224132 its reverse (23142231), we get a palindrome (36366363).

The spelling of 13224132 in words is "thirteen million, two hundred twenty-four thousand, one hundred thirty-two".