213205 has 4 divisors (see below), whose sum is σ = 255852. Its totient is φ = 170560.

The previous prime is 213203. The next prime is 213209. The reversal of 213205 is 502312.

213205 = 326² + 327².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 106929 + 106276 = 327^2 + 326^2 .

It is not a de Polignac number, because 213205 - 2¹ = 213203 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21316 + ... + 21325.

It is an arithmetic number, because the mean of its divisors is an integer number (63963).

2²¹³²⁰⁵ is an apocalyptic number.

213205 is the 327-th centered square number.

It is an amenable number.

213205 is a deficient number, since it is larger than the sum of its proper divisors (42647).

213205 is an equidigital number, since it uses as much as digits as its factorization.

213205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42646.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 213205 is about 461.7412695439. The cubic root of 213205 is about 59.7400793506.

Adding to 213205 its reverse (502312), we get a palindrome (715517).

The spelling of 213205 in words is "two hundred thirteen thousand, two hundred five".