8187 has 4 divisors (see below), whose sum is σ = 10920. Its totient is φ = 5456.

The previous prime is 8179. The next prime is 8191. The reversal of 8187 is 7818.

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 8187 - 2³ = 8179 is a prime.

It is a D-number.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8187.

It is not an unprimeable number, because it can be changed into a prime (8117) 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, 1362 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

2⁸¹⁸⁷ is an apocalyptic number.

8187 is a deficient number, since it is larger than the sum of its proper divisors (2733).

8187 is a wasteful number, since it uses less digits than its factorization.

8187 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732.

The product of its digits is 448, while the sum is 24.

The square root of 8187 is about 90.4820424173. The cubic root of 8187 is about 20.1546346581.

The spelling of 8187 in words is "eight thousand, one hundred eighty-seven".