13842121 has 2 divisors, whose sum is σ = 13842122. Its totient is φ = 13842120.

The previous prime is 13842091. The next prime is 13842137. The reversal of 13842121 is 12124831.

It is a happy number.

13842121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13838400 + 3721 = 3720^2 + 61^2 .

It is a cyclic number.

It is not a de Polignac number, because 13842121 - 2²¹ = 11744969 is a prime.

It is the 3721-st Hogben number.

It is a junction number, because it is equal to n+sod(n) for n = 13842092 and 13842101.

It is not a weakly prime, because it can be changed into another prime (13840121) by changing a digit.

It is a nontrivial repunit in base 3720.

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, 6921060 + 6921061.

It is an arithmetic number, because the mean of its divisors is an integer number (6921061).

Almost surely, 2^13842121 is an apocalyptic number.

It is an amenable number.

13842121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13842121 is an equidigital number, since it uses as much as digits as its factorization.

13842121 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 13842121 is about 3720.5001007929. The cubic root of 13842121 is about 240.1048211104.

Adding to 13842121 its reverse (12124831), we get a palindrome (25966952).

The spelling of 13842121 in words is "thirteen million, eight hundred forty-two thousand, one hundred twenty-one".