82664 has 8 divisors (see below), whose sum is σ = 155010. Its totient is φ = 41328.

The previous prime is 82657. The next prime is 82699. The reversal of 82664 is 46628.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 20164 = 250^2 + 142^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5159 + ... + 5174.

2⁸²⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

82664 is a deficient number, since it is larger than the sum of its proper divisors (72346).

82664 is a wasteful number, since it uses less digits than its factorization.

82664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339 (or 10335 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 82664 is about 287.5134779449. The cubic root of 82664 is about 43.5617654311.

It can be divided in two parts, 8 and 2664, that multiplied together give a palindrome (21312).

The spelling of 82664 in words is "eighty-two thousand, six hundred sixty-four".