85829 has 2 divisors, whose sum is σ = 85830. Its totient is φ = 85828.

The previous prime is 85819. The next prime is 85831. The reversal of 85829 is 92858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 36100 = 223^2 + 190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85829 is a prime.

It is a super-3 number, since 3×85829³ = 1896808173533367, which contains 333 as substring.

It is a Sophie Germain prime.

Together with 85831, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85795 and 85804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42914 + 42915.

It is an arithmetic number, because the mean of its divisors is an integer number (42915).

2⁸⁵⁸²⁹ is an apocalyptic number.

It is an amenable number.

85829 is a deficient number, since it is larger than the sum of its proper divisors (1).

85829 is an equidigital number, since it uses as much as digits as its factorization.

85829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760, while the sum is 32.

The square root of 85829 is about 292.9658683192. The cubic root of 85829 is about 44.1107745983.

The spelling of 85829 in words is "eighty-five thousand, eight hundred twenty-nine".