13731444 has 84 divisors (see below), whose sum is σ = 38285604. Its totient is φ = 4292352.

The previous prime is 13731439. The next prime is 13731451. The reversal of 13731444 is 44413731.

It can be written as a sum of positive squares in 2 ways, for example, as 6441444 + 7290000 = 2538^2 + 2700^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 49434 + ... + 49710.

It is an arithmetic number, because the mean of its divisors is an integer number (455781).

Almost surely, 2^13731444 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 13731444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19142802).

13731444 is an abundant number, since it is smaller than the sum of its proper divisors (24554160).

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

13731444 is a wasteful number, since it uses less digits than its factorization.

13731444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 13731444 is about 3705.5963082883. The cubic root of 13731444 is about 239.4631751414.

The spelling of 13731444 in words is "thirteen million, seven hundred thirty-one thousand, four hundred forty-four".