10588 has 6 divisors (see below), whose sum is σ = 18536. Its totient is φ = 5292.

The previous prime is 10567. The next prime is 10589. The reversal of 10588 is 88501.

10588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10588² = 224211488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10589) by changing a digit.

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, 1320 + ... + 1327.

2¹⁰⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

10588 is a deficient number, since it is larger than the sum of its proper divisors (7948).

10588 is a wasteful number, since it uses less digits than its factorization.

10588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 10588 is about 102.8980077553. The cubic root of 10588 is about 21.9585998269.

It can be divided in two parts, 1058 and 8, that multiplied together give a square (8464 = 92²).

The spelling of 10588 in words is "ten thousand, five hundred eighty-eight".