6437 has 4 divisors (see below), whose sum is σ = 6636. Its totient is φ = 6240.

The previous prime is 6427. The next prime is 6449. The reversal of 6437 is 7346.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7346 = 2 ⋅3673.

It can be written as a sum of positive squares in 2 ways, for example, as 961 + 5476 = 31^2 + 74^2 .

It is a cyclic number.

It is not a de Polignac number, because 6437 - 2⁴ = 6421 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 8 and base 14.

It is a nialpdrome 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 6437.

It is not an unprimeable number, because it can be changed into a prime (6427) 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, 38 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (1659).

It is an amenable number.

6437 is a deficient number, since it is larger than the sum of its proper divisors (199).

6437 is a wasteful number, since it uses less digits than its factorization.

6437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198.

The product of its digits is 504, while the sum is 20.

The square root of 6437 is about 80.2309167341. The cubic root of 6437 is about 18.6020655200.

Subtracting 6437 from its reverse (7346), we obtain a palindrome (909).

It can be divided in two parts, 64 and 37, that added together give a palindrome (101).

The spelling of 6437 in words is "six thousand, four hundred thirty-seven".