82804933 has 2 divisors, whose sum is σ = 82804934. Its totient is φ = 82804932.

The previous prime is 82804903. The next prime is 82804963. The reversal of 82804933 is 33940828.

It is a balanced prime because it is at equal distance from previous prime (82804903) and next prime (82804963).

It can be written as a sum of positive squares in only one way, i.e., 82773604 + 31329 = 9098^2 + 177^2 .

It is a cyclic number.

It is not a de Polignac number, because 82804933 - 2¹³ = 82796741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82804892 and 82804901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82804903) 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, 41402466 + 41402467.

It is an arithmetic number, because the mean of its divisors is an integer number (41402467).

Almost surely, 2^82804933 is an apocalyptic number.

It is an amenable number.

82804933 is a deficient number, since it is larger than the sum of its proper divisors (1).

82804933 is an equidigital number, since it uses as much as digits as its factorization.

82804933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 82804933 is about 9099.7215891477. The cubic root of 82804933 is about 435.8650737701.

The spelling of 82804933 in words is "eighty-two million, eight hundred four thousand, nine hundred thirty-three".