13024 has 24 divisors (see below), whose sum is σ = 28728. Its totient is φ = 5760.

The previous prime is 13009. The next prime is 13033. The reversal of 13024 is 42031.

13024 = T₁₁ + T₁₂ + ... + T₄₂.

13024 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a nialpdrome in base 11 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 13024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 334 + ... + 370.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

2¹³⁰²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364).

13024 is an abundant number, since it is smaller than the sum of its proper divisors (15704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13024 is a wasteful number, since it uses less digits than its factorization.

13024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13024 is about 114.1227409415. The cubic root of 13024 is about 23.5278077338.

Adding to 13024 its reverse (42031), we get a palindrome (55055).

It can be divided in two parts, 1 and 3024, that added together give a square (3025 = 55²).

The spelling of 13024 in words is "thirteen thousand, twenty-four".