6417 has 12 divisors (see below), whose sum is σ = 9984. Its totient is φ = 3960.

The previous prime is 6397. The next prime is 6421. The reversal of 6417 is 7146.

6417 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 6417 - 2⁶ = 6353 is a prime.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 6417.

It is not an unprimeable number, because it can be changed into a prime (6427) 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 11 ways as a sum of consecutive naturals, for example, 192 + ... + 222.

It is an arithmetic number, because the mean of its divisors is an integer number (832).

2⁶⁴¹⁷ is an apocalyptic number.

It is an amenable number.

6417 is a deficient number, since it is larger than the sum of its proper divisors (3567).

6417 is a wasteful number, since it uses less digits than its factorization.

6417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 57 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 6417 is about 80.1061795369. The cubic root of 6417 is about 18.5827797610.

Subtracting 6417 from its reverse (7146), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 64 and 17, that added together give a 4-th power (81 = 3⁴).

The spelling of 6417 in words is "six thousand, four hundred seventeen".