84121 has 2 divisors, whose sum is σ = 84122. Its totient is φ = 84120.

The previous prime is 84089. The next prime is 84127. The reversal of 84121 is 12148.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 35721 = 220^2 + 189^2 .

It is a cyclic number.

It is not a de Polignac number, because 84121 - 2⁵ = 84089 is a prime.

84121 is a lucky number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 84095 and 84104.

It is not a weakly prime, because it can be changed into another prime (84127) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42060 + 42061.

It is an arithmetic number, because the mean of its divisors is an integer number (42061).

2⁸⁴¹²¹ is an apocalyptic number.

It is an amenable number.

84121 is a deficient number, since it is larger than the sum of its proper divisors (1).

84121 is an equidigital number, since it uses as much as digits as its factorization.

84121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64, while the sum is 16.

The square root of 84121 is about 290.0362046366. The cubic root of 84121 is about 43.8162099534.

Adding to 84121 its reverse (12148), we get a palindrome (96269).

The spelling of 84121 in words is "eighty-four thousand, one hundred twenty-one".