13824117 has 6 divisors (see below), whose sum is σ = 19968182. Its totient is φ = 9216072.

The previous prime is 13824091. The next prime is 13824119. The reversal of 13824117 is 71142831.

It can be written as a sum of positive squares in only one way, i.e., 13024881 + 799236 = 3609^2 + 894^2 .

It is not a de Polignac number, because 13824117 - 2¹⁴ = 13807733 is a prime.

It is a super-2 number, since 2×13824117² = 382212421659378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13824119) 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 5 ways as a sum of consecutive naturals, for example, 767998 + ... + 768015.

Almost surely, 2^13824117 is an apocalyptic number.

It is an amenable number.

13824117 is a deficient number, since it is larger than the sum of its proper divisors (6144065).

13824117 is a wasteful number, since it uses less digits than its factorization.

13824117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536019 (or 1536016 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 13824117 is about 3718.0797463207. The cubic root of 13824117 is about 240.0006770814. Note that the first 3 decimals are identical.

Adding to 13824117 its reverse (71142831), we get a palindrome (84966948).

The spelling of 13824117 in words is "thirteen million, eight hundred twenty-four thousand, one hundred seventeen".