863829 has 12 divisors (see below), whose sum is σ = 1278732. Its totient is φ = 561600.

The previous prime is 863803. The next prime is 863833. The reversal of 863829 is 928368.

It can be written as a sum of positive squares in 2 ways, for example, as 260100 + 603729 = 510^2 + 777^2 .

It is not a de Polignac number, because 863829 - 2¹⁶ = 798293 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 863793 and 863802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (106561).

2⁸⁶³⁸²⁹ is an apocalyptic number.

It is an amenable number.

863829 is a deficient number, since it is larger than the sum of its proper divisors (414903).

863829 is a wasteful number, since it uses less digits than its factorization.

863829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2385 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 863829 is about 929.4240151836. The cubic root of 863829 is about 95.2377792410.

The spelling of 863829 in words is "eight hundred sixty-three thousand, eight hundred twenty-nine".