5000 has 20 divisors (see below), whose sum is σ = 11715. Its totient is φ = 2000.

The previous prime is 4999. The next prime is 5003. The reversal of 5000 is 5.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5000 is nontrivially palindromic in base 7.

5000 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 1156 + 3844 = 34^2 + 62^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=50.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 13 and base 16.

It is a nialpdrome in base 10.

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 (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 998 + ... + 1002.

5000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5000

5000 is an abundant number, since it is smaller than the sum of its proper divisors (6715).

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

5000 is an equidigital number, since it uses as much as digits as its factorization.

5000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26 (or 7 counting only the distinct ones).

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

The square root of 5000 is about 70.7106781187. The cubic root of 5000 is about 17.0997594668.

The spelling of 5000 in words is "five thousand".

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