273829 has 6 divisors (see below), whose sum is σ = 282534. Its totient is φ = 265320.

The previous prime is 273827. The next prime is 273857. The reversal of 273829 is 928372.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 112225 = 402^2 + 335^2 .

It is not a de Polignac number, because 273829 - 2¹ = 273827 is a prime.

It is a Duffinian number.

273829 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 273829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4054 + ... + 4120.

It is an arithmetic number, because the mean of its divisors is an integer number (47089).

2²⁷³⁸²⁹ is an apocalyptic number.

It is an amenable number.

273829 is a deficient number, since it is larger than the sum of its proper divisors (8705).

273829 is an frugal number, since it uses more digits than its factorization.

273829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 128 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 273829 is about 523.2867282857. The cubic root of 273829 is about 64.9371384372.

The spelling of 273829 in words is "two hundred seventy-three thousand, eight hundred twenty-nine".