82716164 has 12 divisors (see below), whose sum is σ = 148665804. Its totient is φ = 40240224.

The previous prime is 82716157. The next prime is 82716167. The reversal of 82716164 is 46161728.

It can be written as a sum of positive squares in 2 ways, for example, as 33154564 + 49561600 = 5758^2 + 7040^2 .

It is not an unprimeable number, because it can be changed into a prime (82716167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279299 + ... + 279594.

It is an arithmetic number, because the mean of its divisors is an integer number (12388817).

Almost surely, 2^82716164 is an apocalyptic number.

It is an amenable number.

82716164 is a deficient number, since it is larger than the sum of its proper divisors (65949640).

82716164 is a wasteful number, since it uses less digits than its factorization.

82716164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558934 (or 558932 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 82716164 is about 9094.8427144179. The cubic root of 82716164 is about 435.7092652549.

It can be divided in two parts, 8 and 2716164, that added together give a palindrome (2716172).

The spelling of 82716164 in words is "eighty-two million, seven hundred sixteen thousand, one hundred sixty-four".