65837 has 2 divisors, whose sum is σ = 65838. Its totient is φ = 65836.

The previous prime is 65831. The next prime is 65839. The reversal of 65837 is 73856.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44521 + 21316 = 211^2 + 146^2 .

It is a cyclic number.

It is not a de Polignac number, because 65837 - 2⁸ = 65581 is a prime.

Together with 65839, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 6.

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 65837.

It is not a weakly prime, because it can be changed into another prime (65831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32918 + 32919.

It is an arithmetic number, because the mean of its divisors is an integer number (32919).

2⁶⁵⁸³⁷ is an apocalyptic number.

It is an amenable number.

65837 is a deficient number, since it is larger than the sum of its proper divisors (1).

65837 is an equidigital number, since it uses as much as digits as its factorization.

65837 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5040, while the sum is 29.

The square root of 65837 is about 256.5872171407. The cubic root of 65837 is about 40.3791039865.

The spelling of 65837 in words is "sixty-five thousand, eight hundred thirty-seven".