13213284 has 96 divisors (see below), whose sum is σ = 39352320. Its totient is φ = 3359232.

The previous prime is 13213283. The next prime is 13213289. The reversal of 13213284 is 48231231.

13213284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13213283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26889 + ... + 27375.

It is an arithmetic number, because the mean of its divisors is an integer number (409920).

Almost surely, 2^13213284 is an apocalyptic number.

13213284 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 13213284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676160).

13213284 is an abundant number, since it is smaller than the sum of its proper divisors (26139036).

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

13213284 is a wasteful number, since it uses less digits than its factorization.

13213284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 535 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 13213284 is about 3635.0081155343. The cubic root of 13213284 is about 236.4124025433.

The spelling of 13213284 in words is "thirteen million, two hundred thirteen thousand, two hundred eighty-four".