82065033 has 12 divisors (see below), whose sum is σ = 118979328. Its totient is φ = 54506520.

The previous prime is 82065019. The next prime is 82065037. The reversal of 82065033 is 33056028.

82065033 is a `hidden beast` number, since 8 + 2 + 0 + 650 + 3 + 3 = 666.

It is not a de Polignac number, because 82065033 - 2⁸ = 82064777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82064988 and 82065006.

It is not an unprimeable number, because it can be changed into a prime (82065037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14385 + ... + 19262.

It is an arithmetic number, because the mean of its divisors is an integer number (9914944).

Almost surely, 2^82065033 is an apocalyptic number.

It is an amenable number.

82065033 is a deficient number, since it is larger than the sum of its proper divisors (36914295).

82065033 is a wasteful number, since it uses less digits than its factorization.

82065033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33924 (or 33921 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 82065033 is about 9058.9752731752. The cubic root of 82065033 is about 434.5629697175.

The spelling of 82065033 in words is "eighty-two million, sixty-five thousand, thirty-three".