82766817 has 24 divisors (see below), whose sum is σ = 140327616. Its totient is φ = 46015776.

The previous prime is 82766809. The next prime is 82766819. The reversal of 82766817 is 71866728.

It is not a de Polignac number, because 82766817 - 2³ = 82766809 is a prime.

It is a super-2 number, since 2×82766817² = 13700691992622978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82766819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15423 + ... + 20084.

It is an arithmetic number, because the mean of its divisors is an integer number (5846984).

Almost surely, 2^82766817 is an apocalyptic number.

It is an amenable number.

82766817 is a deficient number, since it is larger than the sum of its proper divisors (57560799).

82766817 is a wasteful number, since it uses less digits than its factorization.

82766817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35557 (or 35554 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 82766817 is about 9097.6269982892. The cubic root of 82766817 is about 435.7981857144.

The spelling of 82766817 in words is "eighty-two million, seven hundred sixty-six thousand, eight hundred seventeen".