273834 has 32 divisors (see below), whose sum is σ = 665280. Its totient is φ = 82800.

The previous prime is 273827. The next prime is 273857. The reversal of 273834 is 438372.

273834 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 273798 and 273807.

It is an unprimeable number.

273834 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 15 ways as a sum of consecutive naturals, for example, 364 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2²⁷³⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

273834 is an abundant number, since it is smaller than the sum of its proper divisors (391446).

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

273834 is a wasteful number, since it uses less digits than its factorization.

273834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 273834 is about 523.2915057595. The cubic root of 273834 is about 64.9375336762.

It can be divided in two parts, 2738 and 34, that added together give a palindrome (2772).

The spelling of 273834 in words is "two hundred seventy-three thousand, eight hundred thirty-four".