13724641 has 8 divisors (see below), whose sum is σ = 15825024. Its totient is φ = 11659200.

The previous prime is 13724617. The next prime is 13724653. The reversal of 13724641 is 14642731.

13724641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13724641 - 2¹⁹ = 13200353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13724671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7885 + ... + 9466.

It is an arithmetic number, because the mean of its divisors is an integer number (1978128).

Almost surely, 2^13724641 is an apocalyptic number.

It is an amenable number.

13724641 is a deficient number, since it is larger than the sum of its proper divisors (2100383).

13724641 is a wasteful number, since it uses less digits than its factorization.

13724641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17471.

The product of its digits is 4032, while the sum is 28.

The square root of 13724641 is about 3704.6782586346. The cubic root of 13724641 is about 239.4236226834.

It can be divided in two parts, 13724 and 641, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 13724641 in words is "thirteen million, seven hundred twenty-four thousand, six hundred forty-one".