273824 has 24 divisors (see below), whose sum is σ = 554400. Its totient is φ = 133056.

The previous prime is 273821. The next prime is 273827. The reversal of 273824 is 428372.

It is an interprime number because it is at equal distance from previous prime (273821) and next prime (273827).

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 273793 and 273802.

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 273824.

It is not an unprimeable number, because it can be changed into a prime (273821) 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, 1277 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2²⁷³⁸²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277200).

273824 is an abundant number, since it is smaller than the sum of its proper divisors (280576).

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

273824 is a wasteful number, since it uses less digits than its factorization.

273824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 273824 is about 523.2819507684. The cubic root of 273824 is about 64.9367431933.

The spelling of 273824 in words is "two hundred seventy-three thousand, eight hundred twenty-four".