65584 has 10 divisors (see below), whose sum is σ = 127100. Its totient is φ = 32784.

The previous prime is 65581. The next prime is 65587. The reversal of 65584 is 48556.

65584 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (65581) and next prime (65587).

It is a super-2 number, since 2×65584² = 8602522112, which contains 22 as substring.

It is a plaindrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (65581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2034 + ... + 2065.

It is an arithmetic number, because the mean of its divisors is an integer number (12710).

2⁶⁵⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

65584 is a deficient number, since it is larger than the sum of its proper divisors (61516).

65584 is a wasteful number, since it uses less digits than its factorization.

65584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4101 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 65584 is about 256.0937328401. The cubic root of 65584 is about 40.3273143277.

Subtracting from 65584 its sum of digits (28), we obtain a palindrome (65556).

The spelling of 65584 in words is "sixty-five thousand, five hundred eighty-four".