13009284 has 72 divisors (see below), whose sum is σ = 36068760. Its totient is φ = 3935232.

The previous prime is 13009279. The next prime is 13009291. The reversal of 13009284 is 48290031.

It can be written as a sum of positive squares in 4 ways, for example, as 7617600 + 5391684 = 2760^2 + 2322^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17382 + ... + 18114.

It is an arithmetic number, because the mean of its divisors is an integer number (500955).

Almost surely, 2^13009284 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 13009284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034380).

13009284 is an abundant number, since it is smaller than the sum of its proper divisors (23059476).

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

13009284 is a wasteful number, since it uses less digits than its factorization.

13009284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13009284 is about 3606.8385048405. The cubic root of 13009284 is about 235.1894292764.

The spelling of 13009284 in words is "thirteen million, nine thousand, two hundred eighty-four".