13582 has 4 divisors (see below), whose sum is σ = 20376. Its totient is φ = 6790.

The previous prime is 13577. The next prime is 13591. The reversal of 13582 is 28531.

It is a happy number.

13582 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 28531 = 103 ⋅277.

It is a congruent number.

It is an unprimeable number.

13582 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3394 + ... + 3397.

It is an arithmetic number, because the mean of its divisors is an integer number (5094).

2¹³⁵⁸² is an apocalyptic number.

13582 is a deficient number, since it is larger than the sum of its proper divisors (6794).

13582 is an equidigital number, since it uses as much as digits as its factorization.

13582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793.

The product of its digits is 240, while the sum is 19.

The square root of 13582 is about 116.5418379810. The cubic root of 13582 is about 23.8591284552.

It can be divided in two parts, 13 and 582, that added together give a palindrome (595).

The spelling of 13582 in words is "thirteen thousand, five hundred eighty-two".