13824121 has 2 divisors, whose sum is σ = 13824122. Its totient is φ = 13824120.

The previous prime is 13824119. The next prime is 13824169. The reversal of 13824121 is 12142831.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12524521 + 1299600 = 3539^2 + 1140^2 .

It is a cyclic number.

It is not a de Polignac number, because 13824121 - 2¹ = 13824119 is a prime.

It is a super-2 number, since 2×13824121² = 382212642845282, which contains 22 as substring.

Together with 13824119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13824092 and 13824101.

It is not a weakly prime, because it can be changed into another prime (13821121) 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 as a sum of consecutive naturals, namely, 6912060 + 6912061.

It is an arithmetic number, because the mean of its divisors is an integer number (6912061).

Almost surely, 2^13824121 is an apocalyptic number.

It is an amenable number.

13824121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13824121 is an equidigital number, since it uses as much as digits as its factorization.

13824121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 22.

The square root of 13824121 is about 3718.0802842327. The cubic root of 13824121 is about 240.0007002294. Note that the first 3 decimals are identical.

Adding to 13824121 its reverse (12142831), we get a palindrome (25966952).

The spelling of 13824121 in words is "thirteen million, eight hundred twenty-four thousand, one hundred twenty-one".