6497 has 4 divisors (see below), whose sum is σ = 6660. Its totient is φ = 6336.

The previous prime is 6491. The next prime is 6521. The reversal of 6497 is 7946.

6497 = 7⁴ + 8⁴.

6497 is nontrivially palindromic in base 8.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 2401 + 4096 = 49^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 6497 - 2⁴ = 6481 is a prime.

It is a super-2 number, since 2×6497² = 84422018, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6491) 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, 29 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (1665).

2⁶⁴⁹⁷ is an apocalyptic number.

It is an amenable number.

6497 is a deficient number, since it is larger than the sum of its proper divisors (163).

6497 is an equidigital number, since it uses as much as digits as its factorization.

6497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162.

The product of its digits is 1512, while the sum is 26.

The square root of 6497 is about 80.6039701255. The cubic root of 6497 is about 18.6596841798.

It can be divided in two parts, 649 and 7, that added together give a palindrome (656).

The spelling of 6497 in words is "six thousand, four hundred ninety-seven".