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8229 = 313211

8229 has 8 divisors (see below), whose sum is σ = 11872. Its totient is φ = 5040.

The previous prime is 8221. The next prime is 8231. The reversal of 8229 is 9228.

8229 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 8229 - 23 = 8221 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221) 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, 67 + ... + 144.

It is an arithmetic number, because the mean of its divisors is an integer number (1484).

28229 is an apocalyptic number.

It is an amenable number.

8229 is a deficient number, since it is larger than the sum of its proper divisors (3643).

8229 is a wasteful number, since it uses less digits than its factorization.

8229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227.

The product of its digits is 288, while the sum is 21.

The square root of 8229 is about 90.7138357694. The cubic root of 8229 is about 20.1890408809.

Subtracting 8229 from its reverse (9228), we obtain a palindrome (999).

It can be divided in two parts, 82 and 29, that added together give a palindrome (111).

The spelling of 8229 in words is "eight thousand, two hundred twenty-nine".

Divisors: 1 3 13 39 211 633 2743 8229