6500 has 24 divisors (see below), whose sum is σ = 15288. Its totient is φ = 2400.

The previous prime is 6491. The next prime is 6521. The reversal of 6500 is 56.

6500 = T₅₅ + T₅₆ + ... + T₅₈.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 5476 = 32^2 + 74^2 .

It is a sliding number, since 6500 = 2500 + 4000 and 1/2500 + 1/4000 = 0.0006500.

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 9 and base 10.

It is a zygodrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (637).

2⁶⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644).

6500 is an abundant number, since it is smaller than the sum of its proper divisors (8788).

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

6500 is a wasteful number, since it uses less digits than its factorization.

6500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 6500 is about 80.6225774830. The cubic root of 6500 is about 18.6625557841.

Multiplying 6500 by its product of nonzero digits (30), we get a triangular number (195000 = T₆₂₄).

Adding to 6500 its reverse (56), we get a palindrome (6556).

The spelling of 6500 in words is "six thousand, five hundred".