82786133 has 2 divisors, whose sum is σ = 82786134. Its totient is φ = 82786132.

The previous prime is 82786111. The next prime is 82786139. The reversal of 82786133 is 33168728.

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., 77035729 + 5750404 = 8777^2 + 2398^2 .

It is a cyclic number.

It is not a de Polignac number, because 82786133 - 2⁸ = 82785877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82786139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41393066 + 41393067.

It is an arithmetic number, because the mean of its divisors is an integer number (41393067).

Almost surely, 2^82786133 is an apocalyptic number.

It is an amenable number.

82786133 is a deficient number, since it is larger than the sum of its proper divisors (1).

82786133 is an equidigital number, since it uses as much as digits as its factorization.

82786133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 38.

The square root of 82786133 is about 9098.6885318710. The cubic root of 82786133 is about 435.8320850607.

The spelling of 82786133 in words is "eighty-two million, seven hundred eighty-six thousand, one hundred thirty-three".