86829 has 8 divisors (see below), whose sum is σ = 117312. Its totient is φ = 57120.

The previous prime is 86813. The next prime is 86837. The reversal of 86829 is 92868.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 86829 - 2⁴ = 86813 is a prime.

It is a Curzon number.

86829 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 86829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (14664).

2⁸⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

86829 is a deficient number, since it is larger than the sum of its proper divisors (30483).

86829 is a wasteful number, since it uses less digits than its factorization.

86829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its digits is 6912, while the sum is 33.

The square root of 86829 is about 294.6676093499. The cubic root of 86829 is about 44.2814261742.

The spelling of 86829 in words is "eighty-six thousand, eight hundred twenty-nine".