11588 has 6 divisors (see below), whose sum is σ = 20286. Its totient is φ = 5792.

The previous prime is 11587. The next prime is 11593. The reversal of 11588 is 88511.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 3844 = 88^2 + 62^2 .

It is an Ulam number.

It is a plaindrome in base 10 and base 15.

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, 1445 + ... + 1452.

It is an arithmetic number, because the mean of its divisors is an integer number (3381).

2¹¹⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

11588 is a deficient number, since it is larger than the sum of its proper divisors (8698).

11588 is a wasteful number, since it uses less digits than its factorization.

11588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2899 counting only the distinct ones).

The product of its digits is 320, while the sum is 23.

The square root of 11588 is about 107.6475731264. The cubic root of 11588 is about 22.6292153557.

Adding to 11588 its sum of digits (23), we get a palindrome (11611).

The spelling of 11588 in words is "eleven thousand, five hundred eighty-eight".