13205424 has 40 divisors (see below), whose sum is σ = 34458112. Its totient is φ = 4357440.

The previous prime is 13205419. The next prime is 13205461. The reversal of 13205424 is 42450231.

It is a self number, because there is not a number n which added to its sum of digits gives 13205424.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3609 + ... + 6279.

Almost surely, 2^13205424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13205424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17229056).

13205424 is an abundant number, since it is smaller than the sum of its proper divisors (21252688).

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

13205424 is a wasteful number, since it uses less digits than its factorization.

13205424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 13205424 is about 3633.9268016844. The cubic root of 13205424 is about 236.3655161407.

Adding to 13205424 its reverse (42450231), we get a palindrome (55655655).

The spelling of 13205424 in words is "thirteen million, two hundred five thousand, four hundred twenty-four".