273966 has 32 divisors (see below), whose sum is σ = 684288. Its totient is φ = 71040.

The previous prime is 273943. The next prime is 273967. The reversal of 273966 is 669372.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 273966.

It is not an unprimeable number, because it can be changed into a prime (273967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (21384).

2²⁷³⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342144).

273966 is an abundant number, since it is smaller than the sum of its proper divisors (410322).

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

273966 is a wasteful number, since it uses less digits than its factorization.

273966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616.

The product of its digits is 13608, while the sum is 33.

The square root of 273966 is about 523.4176152939. The cubic root of 273966 is about 64.9479662466.

It can be divided in two parts, 27 and 3966, that added together give a palindrome (3993).

The spelling of 273966 in words is "two hundred seventy-three thousand, nine hundred sixty-six".