686829 has 16 divisors (see below), whose sum is σ = 1076544. Its totient is φ = 384000.

The previous prime is 686801. The next prime is 686837. The reversal of 686829 is 928686.

It is not a de Polignac number, because 686829 - 2⁵ = 686797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (67284).

2⁶⁸⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

686829 is a deficient number, since it is larger than the sum of its proper divisors (389715).

686829 is a wasteful number, since it uses less digits than its factorization.

686829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628.

The product of its digits is 41472, while the sum is 39.

The square root of 686829 is about 828.7514705869. The cubic root of 686829 is about 88.2299855368.

The spelling of 686829 in words is "six hundred eighty-six thousand, eight hundred twenty-nine".