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8235 = 33561

8235 has 16 divisors (see below), whose sum is σ = 14880. Its totient is φ = 4320.

The previous prime is 8233. The next prime is 8237. The reversal of 8235 is 5328.

8235 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (8233) and next prime (8237).

It is not a de Polignac number, because 8235 - 21 = 8233 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8231) 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 15 ways as a sum of consecutive naturals, for example, 105 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

28235 is an apocalyptic number.

8235 is a deficient number, since it is larger than the sum of its proper divisors (6645).

8235 is a wasteful number, since it uses less digits than its factorization.

8235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 8235 is about 90.7469007735. The cubic root of 8235 is about 20.1939464918.

It can be divided in two parts, 823 and 5, that added together give a palindrome (828).

The spelling of 8235 in words is "eight thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 61 135 183 305 549 915 1647 2745 8235