8207 has 4 divisors (see below), whose sum is σ = 8520. Its totient is φ = 7896.

The previous prime is 8191. The next prime is 8209. The reversal of 8207 is 7028.

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 8207 - 2⁴ = 8191 is a prime.

It is a d-powerful number, because it can be written as 8 + 0 + 2¹³ + 7 .

It is a Duffinian number.

It is a plaindrome in base 9 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8209) 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 3 ways as a sum of consecutive naturals, for example, 113 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (2130).

2⁸²⁰⁷ is an apocalyptic number.

8207 is a deficient number, since it is larger than the sum of its proper divisors (313).

8207 is a wasteful number, since it uses less digits than its factorization.

8207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 8207 is about 90.5924941703. The cubic root of 8207 is about 20.1710332127.

The spelling of 8207 in words is "eight thousand, two hundred seven".