13483584 has 147 divisors (see below), whose sum is σ = 42614977. Its totient is φ = 4230144.

The previous prime is 13483537. The next prime is 13483607. The reversal of 13483584 is 48538431.

The square root of 13483584 is 3672.

It is a perfect power (a square), and thus also a powerful number.

13483584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 2985984 = 3240^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

Its product of digits (46080) is a multiple of the sum of its prime factors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 793144 + ... + 793160.

Almost surely, 2^13483584 is an apocalyptic number.

13483584 is the 3672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13483584

13483584 is an abundant number, since it is smaller than the sum of its proper divisors (29131393).

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

13483584 is an frugal number, since it uses more digits than its factorization.

13483584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 22 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The cubic root of 13483584 is about 238.0136046645.

Multiplying 13483584 by its sum of digits (36), we get a square (485409024 = 22032²).

13483584 divided by its sum of digits (36) gives a square (374544 = 612²).

The spelling of 13483584 in words is "thirteen million, four hundred eighty-three thousand, five hundred eighty-four".