83242121 has 2 divisors, whose sum is σ = 83242122. Its totient is φ = 83242120.

The previous prime is 83242087. The next prime is 83242127. The reversal of 83242121 is 12124238.

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., 72931600 + 10310521 = 8540^2 + 3211^2 .

It is a cyclic number.

It is not a de Polignac number, because 83242121 - 2¹⁸ = 82979977 is a prime.

It is not a weakly prime, because it can be changed into another prime (83242127) 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, 41621060 + 41621061.

It is an arithmetic number, because the mean of its divisors is an integer number (41621061).

Almost surely, 2^83242121 is an apocalyptic number.

It is an amenable number.

83242121 is a deficient number, since it is larger than the sum of its proper divisors (1).

83242121 is an equidigital number, since it uses as much as digits as its factorization.

83242121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 23.

The square root of 83242121 is about 9123.7120186906. The cubic root of 83242121 is about 436.6308115643.

Adding to 83242121 its reverse (12124238), we get a palindrome (95366359).

The spelling of 83242121 in words is "eighty-three million, two hundred forty-two thousand, one hundred twenty-one".