13724113 has 8 divisors (see below), whose sum is σ = 14810600. Its totient is φ = 12642048.

The previous prime is 13724107. The next prime is 13724131. The reversal of 13724113 is 31142731.

13724113 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 4 ways, for example, as 350464 + 13373649 = 592^2 + 3657^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13724113 - 2²¹ = 11626961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13724143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8473 + ... + 9961.

It is an arithmetic number, because the mean of its divisors is an integer number (1851325).

Almost surely, 2^13724113 is an apocalyptic number.

13724113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13724113 is a deficient number, since it is larger than the sum of its proper divisors (1086487).

13724113 is a wasteful number, since it uses less digits than its factorization.

13724113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211.

The product of its digits is 504, while the sum is 22.

The square root of 13724113 is about 3704.6069967002. The cubic root of 13724113 is about 239.4205523592.

Adding to 13724113 its reverse (31142731), we get a palindrome (44866844).

The spelling of 13724113 in words is "thirteen million, seven hundred twenty-four thousand, one hundred thirteen".