82666257 has 32 divisors (see below), whose sum is σ = 120476160. Its totient is φ = 50223360.

The previous prime is 82666249. The next prime is 82666261. The reversal of 82666257 is 75266628.

It is not a de Polignac number, because 82666257 - 2³ = 82666249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82666217) 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 in 31 ways as a sum of consecutive naturals, for example, 249582 + ... + 249912.

It is an arithmetic number, because the mean of its divisors is an integer number (3764880).

Almost surely, 2^82666257 is an apocalyptic number.

It is an amenable number.

82666257 is a deficient number, since it is larger than the sum of its proper divisors (37809903).

82666257 is a wasteful number, since it uses less digits than its factorization.

82666257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493.

The product of its digits is 241920, while the sum is 42.

The square root of 82666257 is about 9092.0986026329. The cubic root of 82666257 is about 435.6216188747.

The spelling of 82666257 in words is "eighty-two million, six hundred sixty-six thousand, two hundred fifty-seven".