66582 has 24 divisors (see below), whose sum is σ = 150696. Its totient is φ = 22032.

The previous prime is 66571. The next prime is 66587. The reversal of 66582 is 28566.

66582 is a `hidden beast` number, since 6 + 658 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66587) by changing a digit.

66582 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 11 ways as a sum of consecutive naturals, for example, 418 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (6279).

2⁶⁶⁵⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75348).

66582 is an abundant number, since it is smaller than the sum of its proper divisors (84114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66582 is a wasteful number, since it uses less digits than its factorization.

66582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 66582 is about 258.0348813630. The cubic root of 66582 is about 40.5308407064.

It can be divided in two parts, 665 and 82, that added together give a palindrome (747).

The spelling of 66582 in words is "sixty-six thousand, five hundred eighty-two".