8837 has 2 divisors, whose sum is σ = 8838. Its totient is φ = 8836.

The previous prime is 8831. The next prime is 8839. The reversal of 8837 is 7388.

It is a Cunningham number, because it is equal to 94²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8836 + 1 = 94^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 8837 - 2⁴ = 8821 is a prime.

Together with 8839, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8837.

It is not a weakly prime, because it can be changed into another prime (8831) 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, 4418 + 4419.

It is an arithmetic number, because the mean of its divisors is an integer number (4419).

2⁸⁸³⁷ is an apocalyptic number.

It is an amenable number.

8837 is a deficient number, since it is larger than the sum of its proper divisors (1).

8837 is an equidigital number, since it uses as much as digits as its factorization.

8837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 26.

The square root of 8837 is about 94.0053189984. The cubic root of 8837 is about 20.6744969750.

It can be divided in two parts, 88 and 37, that added together give a cube (125 = 5³).

The spelling of 8837 in words is "eight thousand, eight hundred thirty-seven".