273808 has 20 divisors (see below), whose sum is σ = 538780. Its totient is φ = 134784.

The previous prime is 273803. The next prime is 273821. The reversal of 273808 is 808372.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 138384 = 368^2 + 372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273803) 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 3 ways as a sum of consecutive naturals, for example, 1666 + ... + 1822.

It is an arithmetic number, because the mean of its divisors is an integer number (26939).

2²⁷³⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

273808 is a deficient number, since it is larger than the sum of its proper divisors (264972).

273808 is a wasteful number, since it uses less digits than its factorization.

273808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 273808 is about 523.2666624198. The cubic root of 273808 is about 64.9354783807.

It can be divided in two parts, 273 and 808, that added together give a triangular number (1081 = T₄₆).

The spelling of 273808 in words is "two hundred seventy-three thousand, eight hundred eight".