82033793 has 2 divisors, whose sum is σ = 82033794. Its totient is φ = 82033792.

The previous prime is 82033759. The next prime is 82033799. The reversal of 82033793 is 39733028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55696369 + 26337424 = 7463^2 + 5132^2 .

It is a cyclic number.

It is not a de Polignac number, because 82033793 - 2⁶ = 82033729 is a prime.

It is not a weakly prime, because it can be changed into another prime (82033799) 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, 41016896 + 41016897.

It is an arithmetic number, because the mean of its divisors is an integer number (41016897).

Almost surely, 2^82033793 is an apocalyptic number.

It is an amenable number.

82033793 is a deficient number, since it is larger than the sum of its proper divisors (1).

82033793 is an equidigital number, since it uses as much as digits as its factorization.

82033793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 82033793 is about 9057.2508522178. The cubic root of 82033793 is about 434.5078204873.

The spelling of 82033793 in words is "eighty-two million, thirty-three thousand, seven hundred ninety-three".