13284500 has 36 divisors (see below), whose sum is σ = 29192436. Its totient is φ = 5281200.

The previous prime is 13284473. The next prime is 13284521. The reversal of 13284500 is 548231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 425104 + 12859396 = 652^2 + 3586^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81419 + ... + 81581.

It is an arithmetic number, because the mean of its divisors is an integer number (810901).

Almost surely, 2^13284500 is an apocalyptic number.

13284500 is a gapful number since it is divisible by the number (10) 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 13284500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14596218).

13284500 is an abundant number, since it is smaller than the sum of its proper divisors (15907936).

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

13284500 is an equidigital number, since it uses as much as digits as its factorization.

13284500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 13284500 is about 3644.7908033247. The cubic root of 13284500 is about 236.8363745635.

The spelling of 13284500 in words is "thirteen million, two hundred eighty-four thousand, five hundred".