10539 has 6 divisors (see below), whose sum is σ = 15236. Its totient is φ = 7020.

The previous prime is 10531. The next prime is 10559. The reversal of 10539 is 93501.

10539 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10539 - 2³ = 10531 is a prime.

It is a super-2 number, since 2×10539² = 222141042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10531) 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 in 5 ways as a sum of consecutive naturals, for example, 577 + ... + 594.

2¹⁰⁵³⁹ is an apocalyptic number.

10539 is a deficient number, since it is larger than the sum of its proper divisors (4697).

10539 is a wasteful number, since it uses less digits than its factorization.

10539 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 10539 is about 102.6596317936. The cubic root of 10539 is about 21.9246735111.

Subtracting from 10539 its product of nonzero digits (135), we obtain a square (10404 = 102²).

It can be divided in two parts, 105 and 39, that multiplied together give a triangular number (4095 = T₉₀).

The spelling of 10539 in words is "ten thousand, five hundred thirty-nine".