5005 has 16 divisors (see below), whose sum is σ = 8064. Its totient is φ = 2880.

The previous prime is 5003. The next prime is 5009.

5005 = T₂₁ + T₂₂ + ... + T₃₃.

5005 is nontrivially palindromic in base 10.

5005 is a nontrivial binomial coefficient, being equal to C(15, 6).

It is not a de Polignac number, because 5005 - 2¹ = 5003 is a prime.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4982 and 5000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003) 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 15 ways as a sum of consecutive naturals, for example, 379 + ... + 391.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

2⁵⁰⁰⁵ is an apocalyptic number.

5005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5005 is a deficient number, since it is larger than the sum of its proper divisors (3059).

5005 is a wasteful number, since it uses less digits than its factorization.

5005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36.

The product of its (nonzero) digits is 25, while the sum is 10.

The square root of 5005 is about 70.7460246233. The cubic root of 5005 is about 17.1054574877.

It can be divided in two parts, 500 and 5, that multiplied together give a square (2500 = 50²).

The spelling of 5005 in words is "five thousand, five".