6457 has 4 divisors (see below), whose sum is σ = 7056. Its totient is φ = 5860.

The previous prime is 6451. The next prime is 6469. The reversal of 6457 is 7546.

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 a cyclic number.

It is not a de Polignac number, because 6457 - 2³ = 6449 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (6451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283 + ... + 304.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2⁶⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

6457 is a deficient number, since it is larger than the sum of its proper divisors (599).

6457 is a wasteful number, since it uses less digits than its factorization.

6457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its digits is 840, while the sum is 22.

The square root of 6457 is about 80.3554602998. The cubic root of 6457 is about 18.6213113726.

Subtracting 6457 from its reverse (7546), we obtain a square (1089 = 33²).

It can be divided in two parts, 64 and 57, that added together give a palindrome (121).

The spelling of 6457 in words is "six thousand, four hundred fifty-seven".