273416 has 32 divisors (see below), whose sum is σ = 604800. Its totient is φ = 114240.

The previous prime is 273367. The next prime is 273433. The reversal of 273416 is 614372.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 273391 and 273400.

It is an unprimeable number.

273416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1025 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2²⁷³⁴¹⁶ is an apocalyptic number.

273416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

273416 is an abundant number, since it is smaller than the sum of its proper divisors (331384).

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

273416 is a wasteful number, since it uses less digits than its factorization.

273416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 273416 is about 522.8919582476. The cubic root of 273416 is about 64.9044750686.

Adding to 273416 its reverse (614372), we get a palindrome (887788).

It can be divided in two parts, 27 and 3416, that added together give a palindrome (3443).

The spelling of 273416 in words is "two hundred seventy-three thousand, four hundred sixteen".