11582 has 4 divisors (see below), whose sum is σ = 17376. Its totient is φ = 5790.

The previous prime is 11579. The next prime is 11587. The reversal of 11582 is 28511.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 28511 = 7 ⋅4073.

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 11582.

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 11582.

It is not an unprimeable number, because it can be changed into a prime (11587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2894 + ... + 2897.

It is an arithmetic number, because the mean of its divisors is an integer number (4344).

2¹¹⁵⁸² is an apocalyptic number.

11582 is a deficient number, since it is larger than the sum of its proper divisors (5794).

11582 is an equidigital number, since it uses as much as digits as its factorization.

11582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793.

The product of its digits is 80, while the sum is 17.

The square root of 11582 is about 107.6197007987. The cubic root of 11582 is about 22.6253090523.

The spelling of 11582 in words is "eleven thousand, five hundred eighty-two".