6407 has 4 divisors (see below), whose sum is σ = 6600. Its totient is φ = 6216.

The previous prime is 6397. The next prime is 6421. The reversal of 6407 is 7046.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 6407 - 2⁶ = 6343 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13 and base 14.

It is a congruent number.

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, 32 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (1650).

6407 is a deficient number, since it is larger than the sum of its proper divisors (193).

6407 is a wasteful number, since it uses less digits than its factorization.

6407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 6407 is about 80.0437380436. The cubic root of 6407 is about 18.5731218518.

It can be divided in two parts, 6 and 407, that multiplied together give a palindrome (2442).

The spelling of 6407 in words is "six thousand, four hundred seven".