8013 has 4 divisors (see below), whose sum is σ = 10688. Its totient is φ = 5340.

The previous prime is 8011. The next prime is 8017. The reversal of 8013 is 3108.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 8013 - 2¹ = 8011 is a prime.

It is a D-number.

It is a Duffinian number.

8013 is a lucky number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 8013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1333 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (2672).

2⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

8013 is a deficient number, since it is larger than the sum of its proper divisors (2675).

8013 is a wasteful number, since it uses less digits than its factorization.

8013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 8013 is about 89.5153618101. The cubic root of 8013 is about 20.0108274706.

Subtracting from 8013 its sum of digits (12), we obtain a triangular number (8001 = T₁₂₆).

The spelling of 8013 in words is "eight thousand, thirteen".