4213205 has 8 divisors (see below), whose sum is σ = 5101272. Its totient is φ = 3340288.

The previous prime is 4213199. The next prime is 4213217. The reversal of 4213205 is 5023124.

It can be written as a sum of positive squares in 4 ways, for example, as 47524 + 4165681 = 218^2 + 2041^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4213205 - 2⁴ = 4213189 is a prime.

It is a d-powerful number, because it can be written as 4³ + 2¹⁰ + 1 + 3⁷ + 2²² + 0 + 5⁶ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3164 + ... + 4293.

It is an arithmetic number, because the mean of its divisors is an integer number (637659).

Almost surely, 2^4213205 is an apocalyptic number.

It is an amenable number.

4213205 is a deficient number, since it is larger than the sum of its proper divisors (888067).

4213205 is a wasteful number, since it uses less digits than its factorization.

4213205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4213205 is about 2052.6093149940. The cubic root of 4213205 is about 161.5117775856.

Adding to 4213205 its reverse (5023124), we get a palindrome (9236329).

The spelling of 4213205 in words is "four million, two hundred thirteen thousand, two hundred five".