8787 has 8 divisors (see below), whose sum is σ = 12240. Its totient is φ = 5600.

The previous prime is 8783. The next prime is 8803. The reversal of 8787 is 7878.

It is a happy number.

8787 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8787 - 2² = 8783 is a prime.

It is a super-2 number, since 2×8787² = 154422738, which contains 22 as substring.

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

8787 is an undulating number in base 10.

8787 is a lucky number.

It is a plaindrome in base 11 and base 13.

It is not an unprimeable number, because it can be changed into a prime (8783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 137.

It is an arithmetic number, because the mean of its divisors is an integer number (1530).

2⁸⁷⁸⁷ is an apocalyptic number.

8787 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

8787 is a deficient number, since it is larger than the sum of its proper divisors (3453).

8787 is a wasteful number, since it uses less digits than its factorization.

8787 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133.

The product of its digits is 3136, while the sum is 30.

The square root of 8787 is about 93.7389993546. The cubic root of 8787 is about 20.6354309038.

Subtracting from 8787 its reverse (7878), we obtain a palindrome (909).

The spelling of 8787 in words is "eight thousand, seven hundred eighty-seven".