273213 has 10 divisors (see below), whose sum is σ = 408254. Its totient is φ = 182088.

The previous prime is 273193. The next prime is 273233. The reversal of 273213 is 312372.

It is an interprime number because it is at equal distance from previous prime (273193) and next prime (273233).

It can be written as a sum of positive squares in only one way, i.e., 272484 + 729 = 522^2 + 27^2 .

It is not a de Polignac number, because 273213 - 2⁵ = 273181 is a prime.

It is a Duffinian number.

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 273213.

It is not an unprimeable number, because it can be changed into a prime (273233) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1606 + ... + 1767.

2²⁷³²¹³ is an apocalyptic number.

It is an amenable number.

273213 is a deficient number, since it is larger than the sum of its proper divisors (135041).

273213 is an equidigital number, since it uses as much as digits as its factorization.

273213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3376 counting only the distinct ones).

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

The square root of 273213 is about 522.6978094463. The cubic root of 273213 is about 64.8884081345. Note that the first 3 decimals are identical.

Adding to 273213 its reverse (312372), we get a palindrome (585585).

It can be divided in two parts, 27 and 3213, that added together give a triangular number (3240 = T₈₀).

The spelling of 273213 in words is "two hundred seventy-three thousand, two hundred thirteen".