273105 has 48 divisors (see below), whose sum is σ = 589440. Its totient is φ = 117504.

The previous prime is 273083. The next prime is 273107. The reversal of 273105 is 501372.

It is not a de Polignac number, because 273105 - 2⁵ = 273073 is a prime.

It is a Curzon number.

273105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (273107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16057 + ... + 16073.

It is an arithmetic number, because the mean of its divisors is an integer number (12280).

2²⁷³¹⁰⁵ is an apocalyptic number.

It is an amenable number.

273105 is an abundant number, since it is smaller than the sum of its proper divisors (316335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

273105 is a wasteful number, since it uses less digits than its factorization.

273105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 273105 is about 522.5944890639. The cubic root of 273105 is about 64.8798569654.

Adding to 273105 its reverse (501372), we get a palindrome (774477).

It can be divided in two parts, 273 and 105, that added together give a triangular number (378 = T₂₇).

The spelling of 273105 in words is "two hundred seventy-three thousand, one hundred five".