Search a number
-
+
8237 is a prime number

8237 has 2 divisors, whose sum is σ = 8238. Its totient is φ = 8236.

The previous prime is 8233. The next prime is 8243. The reversal of 8237 is 7328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7396 + 841 = 86^2 + 29^2 .

It is a cyclic number.

It is not a de Polignac number, because 8237 - 22 = 8233 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 4118 + 4119.

It is an arithmetic number, because the mean of its divisors is an integer number (4119).

28237 is an apocalyptic number.

It is an amenable number.

8237 is a deficient number, since it is larger than the sum of its proper divisors (1).

8237 is an equidigital number, since it uses as much as digits as its factorization.

8237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 20.

The square root of 8237 is about 90.7579197646. The cubic root of 8237 is about 20.1955811659.

Subtracting from 8237 its reverse (7328), we obtain a palindrome (909).

The spelling of 8237 in words is "eight thousand, two hundred thirty-seven".