538121 has 2 divisors, whose sum is σ = 538122. Its totient is φ = 538120.

The previous prime is 538117. The next prime is 538123. The reversal of 538121 is 121835.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 511225 + 26896 = 715^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 538121 - 2² = 538117 is a prime.

Together with 538123, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 538093 and 538102.

It is not a weakly prime, because it can be changed into another prime (538123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 269060 + 269061.

It is an arithmetic number, because the mean of its divisors is an integer number (269061).

2⁵³⁸¹²¹ is an apocalyptic number.

It is an amenable number.

538121 is a deficient number, since it is larger than the sum of its proper divisors (1).

538121 is an equidigital number, since it uses as much as digits as its factorization.

538121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 20.

The square root of 538121 is about 733.5673111583. The cubic root of 538121 is about 81.3379670536.

Adding to 538121 its reverse (121835), we get a palindrome (659956).

The spelling of 538121 in words is "five hundred thirty-eight thousand, one hundred twenty-one".