83065033 has 2 divisors, whose sum is σ = 83065034. Its totient is φ = 83065032.

The previous prime is 83065007. The next prime is 83065049. The reversal of 83065033 is 33056038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74787904 + 8277129 = 8648^2 + 2877^2 .

It is a cyclic number.

It is not a de Polignac number, because 83065033 - 2⁵ = 83065001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83064992 and 83065010.

It is not a weakly prime, because it can be changed into another prime (83065133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41532516 + 41532517.

It is an arithmetic number, because the mean of its divisors is an integer number (41532517).

Almost surely, 2^83065033 is an apocalyptic number.

It is an amenable number.

83065033 is a deficient number, since it is larger than the sum of its proper divisors (1).

83065033 is an equidigital number, since it uses as much as digits as its factorization.

83065033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 83065033 is about 9114.0020298440. The cubic root of 83065033 is about 436.3209645286.

The spelling of 83065033 in words is "eighty-three million, sixty-five thousand, thirty-three".