183213 has 6 divisors (see below), whose sum is σ = 264654. Its totient is φ = 122136.

The previous prime is 183203. The next prime is 183247. The reversal of 183213 is 312381.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 21609 = 402^2 + 147^2 .

It is not a de Polignac number, because 183213 - 2⁸ = 182957 is a prime.

183213 is a lucky 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 183213.

It is not an unprimeable number, because it can be changed into a prime (183203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10170 + ... + 10187.

It is an arithmetic number, because the mean of its divisors is an integer number (44109).

2¹⁸³²¹³ is an apocalyptic number.

It is an amenable number.

183213 is a deficient number, since it is larger than the sum of its proper divisors (81441).

183213 is a wasteful number, since it uses less digits than its factorization.

183213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20363 (or 20360 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 183213 is about 428.0338771639. The cubic root of 183213 is about 56.7961322831.

Adding to 183213 its reverse (312381), we get a palindrome (495594).

The spelling of 183213 in words is "one hundred eighty-three thousand, two hundred thirteen".