13005 has 18 divisors (see below), whose sum is σ = 23946. Its totient is φ = 6528.

The previous prime is 13003. The next prime is 13007. The reversal of 13005 is 50031.

It is an interprime number because it is at equal distance from previous prime (13003) and next prime (13007).

It can be written as a sum of positive squares in 3 ways, for example, as 4356 + 8649 = 66^2 + 93^2 .

It is not a de Polignac number, because 13005 - 2¹ = 13003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 757 + ... + 773.

2¹³⁰⁰⁵ is an apocalyptic number.

13005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13005 is a deficient number, since it is larger than the sum of its proper divisors (10941).

13005 is a wasteful number, since it uses less digits than its factorization.

13005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 13005 is about 114.0394668525. The cubic root of 13005 is about 23.5163610225.

Adding to 13005 its reverse (50031), we get a palindrome (63036).

The spelling of 13005 in words is "thirteen thousand, five".