82657273 has 2 divisors, whose sum is σ = 82657274. Its totient is φ = 82657272.

The previous prime is 82657259. The next prime is 82657291. The reversal of 82657273 is 37275628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79709184 + 2948089 = 8928^2 + 1717^2 .

It is a cyclic number.

It is not a de Polignac number, because 82657273 - 2⁵ = 82657241 is a prime.

It is not a weakly prime, because it can be changed into another prime (82657373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41328636 + 41328637.

It is an arithmetic number, because the mean of its divisors is an integer number (41328637).

Almost surely, 2^82657273 is an apocalyptic number.

It is an amenable number.

82657273 is a deficient number, since it is larger than the sum of its proper divisors (1).

82657273 is an equidigital number, since it uses as much as digits as its factorization.

82657273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141120, while the sum is 40.

The square root of 82657273 is about 9091.6045338543. The cubic root of 82657273 is about 435.6058374804.

The spelling of 82657273 in words is "eighty-two million, six hundred fifty-seven thousand, two hundred seventy-three".