82564 has 6 divisors (see below), whose sum is σ = 144494. Its totient is φ = 41280.

The previous prime is 82561. The next prime is 82567. The reversal of 82564 is 46528.

It is an interprime number because it is at equal distance from previous prime (82561) and next prime (82567).

It can be written as a sum of positive squares in only one way, i.e., 57600 + 24964 = 240^2 + 158^2 .

It is not an unprimeable number, because it can be changed into a prime (82561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10317 + ... + 10324.

2⁸²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

82564 is a deficient number, since it is larger than the sum of its proper divisors (61930).

82564 is a wasteful number, since it uses less digits than its factorization.

82564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20645 (or 20643 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 82564 is about 287.3395204284. The cubic root of 82564 is about 43.5441925485.

It can be divided in two parts, 82 and 564, that added together give a palindrome (646).

The spelling of 82564 in words is "eighty-two thousand, five hundred sixty-four".