82566257 has 2 divisors, whose sum is σ = 82566258. Its totient is φ = 82566256.

The previous prime is 82566241. The next prime is 82566259. The reversal of 82566257 is 75266528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77721856 + 4844401 = 8816^2 + 2201^2 .

It is a cyclic number.

It is not a de Polignac number, because 82566257 - 2⁴ = 82566241 is a prime.

Together with 82566259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82566259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41283128 + 41283129.

It is an arithmetic number, because the mean of its divisors is an integer number (41283129).

Almost surely, 2^82566257 is an apocalyptic number.

It is an amenable number.

82566257 is a deficient number, since it is larger than the sum of its proper divisors (1).

82566257 is an equidigital number, since it uses as much as digits as its factorization.

82566257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 201600, while the sum is 41.

The square root of 82566257 is about 9086.5976580896. The cubic root of 82566257 is about 435.4458932492.

The spelling of 82566257 in words is "eighty-two million, five hundred sixty-six thousand, two hundred fifty-seven".