82106933 has 2 divisors, whose sum is σ = 82106934. Its totient is φ = 82106932.

The previous prime is 82106903. The next prime is 82106951. The reversal of 82106933 is 33960128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64609444 + 17497489 = 8038^2 + 4183^2 .

It is a cyclic number.

It is not a de Polignac number, because 82106933 - 2²² = 77912629 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_4785341 and since 82106933 and 4785341 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82106933.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82106903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41053466 + 41053467.

It is an arithmetic number, because the mean of its divisors is an integer number (41053467).

Almost surely, 2^82106933 is an apocalyptic number.

It is an amenable number.

82106933 is a deficient number, since it is larger than the sum of its proper divisors (1).

82106933 is an equidigital number, since it uses as much as digits as its factorization.

82106933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 82106933 is about 9061.2876016602. The cubic root of 82106933 is about 434.6369155049.

The spelling of 82106933 in words is "eighty-two million, one hundred six thousand, nine hundred thirty-three".