82066657 has 2 divisors, whose sum is σ = 82066658. Its totient is φ = 82066656.

The previous prime is 82066651. The next prime is 82066679. The reversal of 82066657 is 75666028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76108176 + 5958481 = 8724^2 + 2441^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82066657 is a prime.

It is not a weakly prime, because it can be changed into another prime (82066651) 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, 41033328 + 41033329.

It is an arithmetic number, because the mean of its divisors is an integer number (41033329).

Almost surely, 2^82066657 is an apocalyptic number.

It is an amenable number.

82066657 is a deficient number, since it is larger than the sum of its proper divisors (1).

82066657 is an equidigital number, since it uses as much as digits as its factorization.

82066657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 82066657 is about 9059.0649075939. The cubic root of 82066657 is about 434.5658362474.

It can be divided in two parts, 820 and 66657, that multiplied together give a triangular number (54658740 = T₁₀₄₅₅).

The spelling of 82066657 in words is "eighty-two million, sixty-six thousand, six hundred fifty-seven".