36582 has 32 divisors (see below), whose sum is σ = 91392. Its totient is φ = 9504.

The previous prime is 36571. The next prime is 36583. The reversal of 36582 is 28563.

36582 is nontrivially palindromic in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36582.

It is not an unprimeable number, because it can be changed into a prime (36583) by changing a digit.

36582 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (2856).

2³⁶⁵⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696).

36582 is an abundant number, since it is smaller than the sum of its proper divisors (54810).

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

36582 is a wasteful number, since it uses less digits than its factorization.

36582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92.

The product of its digits is 1440, while the sum is 24.

The square root of 36582 is about 191.2642151580. The cubic root of 36582 is about 33.1962593163.

The spelling of 36582 in words is "thirty-six thousand, five hundred eighty-two".