8785 has 8 divisors (see below), whose sum is σ = 12096. Its totient is φ = 6000.

The previous prime is 8783. The next prime is 8803. The reversal of 8785 is 5878.

8785 = 25² + 26² + ... + 34².

8785 is nontrivially palindromic in base 6.

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

It is not a de Polignac number, because 8785 - 2¹ = 8783 is a prime.

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

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (8783) 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 7 ways as a sum of consecutive naturals, for example, 91 + ... + 160.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2⁸⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

8785 is a deficient number, since it is larger than the sum of its proper divisors (3311).

8785 is a wasteful number, since it uses less digits than its factorization.

8785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its digits is 2240, while the sum is 28.

The square root of 8785 is about 93.7283308291. The cubic root of 8785 is about 20.6338651819.

Adding to 8785 its product of digits (2240), we get a square (11025 = 105²).

The spelling of 8785 in words is "eight thousand, seven hundred eighty-five".