5001 has 4 divisors (see below), whose sum is σ = 6672. Its totient is φ = 3332.

The previous prime is 4999. The next prime is 5003. The reversal of 5001 is 1005.

5001 = T₁₄ + T₁₅ + ... + T₃₁.

5001 is nontrivially palindromic in base 6 and base 8.

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 an interprime number because it is at equal distance from previous prime (4999) and next prime (5003).

It is a cyclic number.

It is a trimorphic number since its cube, 125075015001, ends in 5001.

It is not a de Polignac number, because 5001 - 2¹ = 4999 is a prime.

It is a D-number.

5001 is a lucky number.

It is a plaindrome in base 13 and base 16.

It is not an unprimeable number, because it can be changed into a prime (5003) 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, 831 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (1668).

It is an amenable number.

5001 is a deficient number, since it is larger than the sum of its proper divisors (1671).

5001 is a wasteful number, since it uses less digits than its factorization.

5001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670.

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 5001 is about 70.7177488329. The cubic root of 5001 is about 17.1008993747.

Adding to 5001 its reverse (1005), we get a palindrome (6006).

The spelling of 5001 in words is "five thousand, one".