82042033 has 2 divisors, whose sum is σ = 82042034. Its totient is φ = 82042032.

The previous prime is 82042031. The next prime is 82042043. The reversal of 82042033 is 33024028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76947984 + 5094049 = 8772^2 + 2257^2 .

It is a cyclic number.

It is not a de Polignac number, because 82042033 - 2¹ = 82042031 is a prime.

Together with 82042031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 82041995 and 82042013.

It is not a weakly prime, because it can be changed into another prime (82042031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41021016 + 41021017.

It is an arithmetic number, because the mean of its divisors is an integer number (41021017).

Almost surely, 2^82042033 is an apocalyptic number.

It is an amenable number.

82042033 is a deficient number, since it is larger than the sum of its proper divisors (1).

82042033 is an equidigital number, since it uses as much as digits as its factorization.

82042033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 82042033 is about 9057.7057249615. The cubic root of 82042033 is about 434.5223682505.

It can be divided in two parts, 8 and 2042033, that added together give a square (2042041 = 1429²).

The spelling of 82042033 in words is "eighty-two million, forty-two thousand, thirty-three".