673829 has 8 divisors (see below), whose sum is σ = 768600. Its totient is φ = 585216.

The previous prime is 673817. The next prime is 673837. The reversal of 673829 is 928376.

It can be written as a sum of positive squares in 4 ways, for example, as 9604 + 664225 = 98^2 + 815^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 673829 - 2⁸ = 673573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1304 + ... + 1745.

It is an arithmetic number, because the mean of its divisors is an integer number (96075).

2⁶⁷³⁸²⁹ is an apocalyptic number.

It is an amenable number.

673829 is a deficient number, since it is larger than the sum of its proper divisors (94771).

673829 is a wasteful number, since it uses less digits than its factorization.

673829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079.

The product of its digits is 18144, while the sum is 35.

The square root of 673829 is about 820.8708790059. The cubic root of 673829 is about 87.6697764916.

The spelling of 673829 in words is "six hundred seventy-three thousand, eight hundred twenty-nine".