213273 has 10 divisors (see below), whose sum is σ = 318714. Its totient is φ = 142128.

The previous prime is 213263. The next prime is 213281. The reversal of 213273 is 372312.

It can be written as a sum of positive squares in only one way, i.e., 149769 + 63504 = 387^2 + 252^2 .

It is not a de Polignac number, because 213273 - 2⁶ = 213209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213203) 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 9 ways as a sum of consecutive naturals, for example, 1236 + ... + 1397.

2²¹³²⁷³ is an apocalyptic number.

It is an amenable number.

213273 is a deficient number, since it is larger than the sum of its proper divisors (105441).

213273 is an equidigital number, since it uses as much as digits as its factorization.

213273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2636 counting only the distinct ones).

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

The square root of 213273 is about 461.8148979840. The cubic root of 213273 is about 59.7464298795.

Adding to 213273 its reverse (372312), we get a palindrome (585585).

The spelling of 213273 in words is "two hundred thirteen thousand, two hundred seventy-three".