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8233 is a prime number

8233 has 2 divisors, whose sum is σ = 8234. Its totient is φ = 8232.

The previous prime is 8231. The next prime is 8237. The reversal of 8233 is 3328.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5929 + 2304 = 77^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 8233 - 21 = 8231 is a prime.

Together with 8231, it forms a pair of twin primes.

8233 is a lucky number.

It is a plaindrome in base 9 and base 15.

It is not a weakly prime, because it can be changed into another prime (8231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4116 + 4117.

It is an arithmetic number, because the mean of its divisors is an integer number (4117).

28233 is an apocalyptic number.

8233 is the 49-th centered heptagonal number.

It is an amenable number.

8233 is a deficient number, since it is larger than the sum of its proper divisors (1).

8233 is an equidigital number, since it uses as much as digits as its factorization.

8233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144, while the sum is 16.

The square root of 8233 is about 90.7358804443. The cubic root of 8233 is about 20.1923115530.

The spelling of 8233 in words is "eight thousand, two hundred thirty-three".