8407 has 4 divisors (see below), whose sum is σ = 9616. Its totient is φ = 7200.

The previous prime is 8389. The next prime is 8419. The reversal of 8407 is 7048.

It is a happy number.

8407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 8407 - 2¹¹ = 6359 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8447) 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, 594 + ... + 607.

It is an arithmetic number, because the mean of its divisors is an integer number (2404).

2⁸⁴⁰⁷ is an apocalyptic number.

8407 is a deficient number, since it is larger than the sum of its proper divisors (1209).

8407 is a wasteful number, since it uses less digits than its factorization.

8407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 8407 is about 91.6896940774. The cubic root of 8407 is about 20.3335722149. Note that the first 3 decimals are identical.

The spelling of 8407 in words is "eight thousand, four hundred seven".