86800829 has 2 divisors, whose sum is σ = 86800830. Its totient is φ = 86800828.

The previous prime is 86800801. The next prime is 86800841. The reversal of 86800829 is 92800868.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84143929 + 2656900 = 9173^2 + 1630^2 .

It is a cyclic number.

It is not a de Polignac number, because 86800829 - 2⁸ = 86800573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86800849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43400414 + 43400415.

It is an arithmetic number, because the mean of its divisors is an integer number (43400415).

Almost surely, 2^86800829 is an apocalyptic number.

It is an amenable number.

86800829 is a deficient number, since it is larger than the sum of its proper divisors (1).

86800829 is an equidigital number, since it uses as much as digits as its factorization.

86800829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 86800829 is about 9316.6962492077. The cubic root of 86800829 is about 442.7663673366.

The spelling of 86800829 in words is "eighty-six million, eight hundred thousand, eight hundred twenty-nine".