13579 has 4 divisors (see below), whose sum is σ = 13984. Its totient is φ = 13176.

The previous prime is 13577. The next prime is 13591. The reversal of 13579 is 97531.

13579 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, and also an emirpimes, since its reverse is a distinct semiprime: 97531 = 7 ⋅13933.

It is a cyclic number.

It is not a de Polignac number, because 13579 - 2¹ = 13577 is a prime.

It is a Duffinian number.

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (13577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147 + ... + 220.

It is an arithmetic number, because the mean of its divisors is an integer number (3496).

2¹³⁵⁷⁹ is an apocalyptic number.

13579 is the 74-th heptagonal number.

13579 is a deficient number, since it is larger than the sum of its proper divisors (405).

13579 is an equidigital number, since it uses as much as digits as its factorization.

13579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404.

The product of its digits is 945, while the sum is 25.

The square root of 13579 is about 116.5289663560. The cubic root of 13579 is about 23.8573716531.

The spelling of 13579 in words is "thirteen thousand, five hundred seventy-nine".