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11583 has 20 divisors (see below), whose sum is σ = 20328. Its totient is φ = 6480.

The previous prime is 11579. The next prime is 11587. The reversal of 11583 is 38511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11579) and next prime (11587).

It is not a de Polignac number, because 11583 - 22 = 11579 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

11583 is a lucky number.

It is a congruent number.

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 in 19 ways as a sum of consecutive naturals, for example, 885 + ... + 897.

211583 is an apocalyptic number.

11583 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11583 is a deficient number, since it is larger than the sum of its proper divisors (8745).

11583 is a wasteful number, since it uses less digits than its factorization.

11583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 27 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 11583 is about 107.6243466879. The cubic root of 11583 is about 22.6259601965.

The spelling of 11583 in words is "eleven thousand, five hundred eighty-three".