8413 has 4 divisors (see below), whose sum is σ = 8640. Its totient is φ = 8188.

The previous prime is 8389. The next prime is 8419. The reversal of 8413 is 3148.

8413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

8413 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

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 8413 - 2⁹ = 7901 is a prime.

It is a Duffinian number.

8413 is a lucky number.

It is a plaindrome in base 7 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8419) 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, 43 + ... + 136.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

It is an amenable number.

8413 is a deficient number, since it is larger than the sum of its proper divisors (227).

8413 is a wasteful number, since it uses less digits than its factorization.

8413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226.

The product of its digits is 96, while the sum is 16.

The square root of 8413 is about 91.7224072951. The cubic root of 8413 is about 20.3384083603.

The spelling of 8413 in words is "eight thousand, four hundred thirteen".