6413 has 6 divisors (see below), whose sum is σ = 7182. Its totient is φ = 5720.

The previous prime is 6397. The next prime is 6421. The reversal of 6413 is 3146.

It can be written as a sum of positive squares in only one way, i.e., 5929 + 484 = 77^2 + 22^2 .

It is not a de Polignac number, because 6413 - 2⁴ = 6397 is a prime.

It is a super-2 number, since 2×6413² = 82253138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6473) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

2⁶⁴¹³ is an apocalyptic number.

It is an amenable number.

6413 is a deficient number, since it is larger than the sum of its proper divisors (769).

6413 is a wasteful number, since it uses less digits than its factorization.

6413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 6413 is about 80.0812087821. The cubic root of 6413 is about 18.5789178022.

Adding to 6413 its reverse (3146), we get a palindrome (9559).

It can be divided in two parts, 64 and 13, that added together give a palindrome (77).

The spelling of 6413 in words is "six thousand, four hundred thirteen".