82067233 has 2 divisors, whose sum is σ = 82067234. Its totient is φ = 82067232.

The previous prime is 82067189. The next prime is 82067239. The reversal of 82067233 is 33276028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81848209 + 219024 = 9047^2 + 468^2 .

It is a cyclic number.

It is not a de Polignac number, because 82067233 - 2¹⁷ = 81936161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82067195 and 82067204.

It is not a weakly prime, because it can be changed into another prime (82067239) 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, 41033616 + 41033617.

It is an arithmetic number, because the mean of its divisors is an integer number (41033617).

Almost surely, 2^82067233 is an apocalyptic number.

It is an amenable number.

82067233 is a deficient number, since it is larger than the sum of its proper divisors (1).

82067233 is an equidigital number, since it uses as much as digits as its factorization.

82067233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 82067233 is about 9059.0966988988. The cubic root of 82067233 is about 434.5668529386.

The spelling of 82067233 in words is "eighty-two million, sixty-seven thousand, two hundred thirty-three".