273006 has 24 divisors (see below), whose sum is σ = 613080. Its totient is φ = 87696.

The previous prime is 273001. The next prime is 273029. The reversal of 273006 is 600372.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 273006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273001) by changing a digit.

273006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (25545).

2²⁷³⁰⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 522×523.

It is a practical number, because each smaller number is the sum of distinct divisors of 273006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306540).

273006 is an abundant number, since it is smaller than the sum of its proper divisors (340074).

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

273006 is a wasteful number, since it uses less digits than its factorization.

273006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 273006 is about 522.4997607655. The cubic root of 273006 is about 64.8720164131.

Adding to 273006 its reverse (600372), we get a palindrome (873378).

The spelling of 273006 in words is "two hundred seventy-three thousand, six".