82202033 has 2 divisors, whose sum is σ = 82202034. Its totient is φ = 82202032.

The previous prime is 82202027. The next prime is 82202053. The reversal of 82202033 is 33020228.

It is a happy number.

It is an a-pointer prime, because the next prime (82202053) can be obtained adding 82202033 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62283664 + 19918369 = 7892^2 + 4463^2 .

It is a cyclic number.

It is not a de Polignac number, because 82202033 - 2⁶ = 82201969 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82201996 and 82202014.

It is not a weakly prime, because it can be changed into another prime (82202053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41101016 + 41101017.

It is an arithmetic number, because the mean of its divisors is an integer number (41101017).

Almost surely, 2^82202033 is an apocalyptic number.

It is an amenable number.

82202033 is a deficient number, since it is larger than the sum of its proper divisors (1).

82202033 is an equidigital number, since it uses as much as digits as its factorization.

82202033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 82202033 is about 9066.5336816228. The cubic root of 82202033 is about 434.8046562024.

The spelling of 82202033 in words is "eighty-two million, two hundred two thousand, thirty-three".