86837 has 2 divisors, whose sum is σ = 86838. Its totient is φ = 86836.

The previous prime is 86813. The next prime is 86843. The reversal of 86837 is 73868.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 5041 = 286^2 + 71^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-86837 is a prime.

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 86837.

It is not a weakly prime, because it can be changed into another prime (86857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43418 + 43419.

It is an arithmetic number, because the mean of its divisors is an integer number (43419).

2⁸⁶⁸³⁷ is an apocalyptic number.

It is an amenable number.

86837 is a deficient number, since it is larger than the sum of its proper divisors (1).

86837 is an equidigital number, since it uses as much as digits as its factorization.

86837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 32.

The square root of 86837 is about 294.6811836545. The cubic root of 86837 is about 44.2827860905.

The spelling of 86837 in words is "eighty-six thousand, eight hundred thirty-seven".