86500829 has 2 divisors, whose sum is σ = 86500830. Its totient is φ = 86500828.

The previous prime is 86500793. The next prime is 86500837. The reversal of 86500829 is 92800568.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77915929 + 8584900 = 8827^2 + 2930^2 .

It is a cyclic number.

It is not a de Polignac number, because 86500829 - 2¹² = 86496733 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 86500792 and 86500801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86500849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43250414 + 43250415.

It is an arithmetic number, because the mean of its divisors is an integer number (43250415).

Almost surely, 2^86500829 is an apocalyptic number.

It is an amenable number.

86500829 is a deficient number, since it is larger than the sum of its proper divisors (1).

86500829 is an equidigital number, since it uses as much as digits as its factorization.

86500829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 86500829 is about 9300.5821860785. The cubic root of 86500829 is about 442.2556839148.

The spelling of 86500829 in words is "eighty-six million, five hundred thousand, eight hundred twenty-nine".