10579 has 4 divisors (see below), whose sum is σ = 10800. Its totient is φ = 10360.

The previous prime is 10567. The next prime is 10589. The reversal of 10579 is 97501.

10579 is nontrivially palindromic in base 3.

10579 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10579 - 2⁹ = 10067 is a prime.

It is a super-2 number, since 2×10579² = 223830482, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10529) 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 3 ways as a sum of consecutive naturals, for example, 4 + ... + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2¹⁰⁵⁷⁹ is an apocalyptic number.

10579 is a deficient number, since it is larger than the sum of its proper divisors (221).

10579 is an equidigital number, since it uses as much as digits as its factorization.

10579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 10579 is about 102.8542658328. The cubic root of 10579 is about 21.9523763217.

Adding to 10579 its sum of digits (22), we get a palindrome (10601).

The spelling of 10579 in words is "ten thousand, five hundred seventy-nine".