13197824 has 40 divisors (see below), whose sum is σ = 26700300. Its totient is φ = 6516736.

The previous prime is 13197817. The next prime is 13197841. The reversal of 13197824 is 42879131.

It can be written as a sum of positive squares in 2 ways, for example, as 13191424 + 6400 = 3632^2 + 80^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76202 + ... + 76374.

Almost surely, 2^13197824 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 13197824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13350150).

13197824 is an abundant number, since it is smaller than the sum of its proper divisors (13502476).

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

13197824 is an equidigital number, since it uses as much as digits as its factorization.

13197824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 13197824 is about 3632.8809504304. The cubic root of 13197824 is about 236.3201629926.

The spelling of 13197824 in words is "thirteen million, one hundred ninety-seven thousand, eight hundred twenty-four".