85837 has 2 divisors, whose sum is σ = 85838. Its totient is φ = 85836.

The previous prime is 85831. The next prime is 85843. The reversal of 85837 is 73858.

It is a balanced prime because it is at equal distance from previous prime (85831) and next prime (85843).

It can be written as a sum of positive squares in only one way, i.e., 84681 + 1156 = 291^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 85837 - 2³ = 85829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85799 and 85808.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42918 + 42919.

It is an arithmetic number, because the mean of its divisors is an integer number (42919).

2⁸⁵⁸³⁷ is an apocalyptic number.

It is an amenable number.

85837 is a deficient number, since it is larger than the sum of its proper divisors (1).

85837 is an equidigital number, since it uses as much as digits as its factorization.

85837 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6720, while the sum is 31.

The square root of 85837 is about 292.9795214687. The cubic root of 85837 is about 44.1121450568.

The spelling of 85837 in words is "eighty-five thousand, eight hundred thirty-seven".