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BaseRepresentation
bin10001010100001
3110011100
42022201
5240430
6105013
734563
oct21241
913140
108865
11672a
125169
13405c
143333
152960
hex22a1

8865 has 12 divisors (see below), whose sum is σ = 15444. Its totient is φ = 4704.

The previous prime is 8863. The next prime is 8867. The reversal of 8865 is 5688.

8865 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (8863) and next prime (8867).

It can be written as a sum of positive squares in 2 ways, for example, as 6561 + 2304 = 81^2 + 48^2 .

It is not a de Polignac number, because 8865 - 21 = 8863 is a prime.

8865 is a nontrivial repdigit in base 14.

It is a plaindrome in base 14.

It is a nialpdrome in base 10 and base 14.

It is a zygodrome in base 3 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8861) 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 11 ways as a sum of consecutive naturals, for example, 54 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (1287).

28865 is an apocalyptic number.

It is an amenable number.

8865 is a deficient number, since it is larger than the sum of its proper divisors (6579).

8865 is a wasteful number, since it uses less digits than its factorization.

8865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 205 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 8865 is about 94.1541289589. The cubic root of 8865 is about 20.6963096411.

It can be divided in two parts, 88 and 65, that added together give a triangular number (153 = T17).

The spelling of 8865 in words is "eight thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 15 45 197 591 985 1773 2955 8865