13531224 has 64 divisors (see below), whose sum is σ = 38937600. Its totient is φ = 3838464.

The previous prime is 13531183. The next prime is 13531229. The reversal of 13531224 is 42213531.

13531224 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 Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13531224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39984 + ... + 40320.

It is an arithmetic number, because the mean of its divisors is an integer number (608400).

Almost surely, 2^13531224 is an apocalyptic number.

13531224 is a gapful number since it is divisible by the number (14) 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 13531224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468800).

13531224 is an abundant number, since it is smaller than the sum of its proper divisors (25406376).

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

13531224 is a wasteful number, since it uses less digits than its factorization.

13531224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 13531224 is about 3678.4812083250. The cubic root of 13531224 is about 238.2935905607.

Adding to 13531224 its reverse (42213531), we get a palindrome (55744755).

The spelling of 13531224 in words is "thirteen million, five hundred thirty-one thousand, two hundred twenty-four".