605209201 has 9 divisors (see below), whose sum is σ = 615439521. Its totient is φ = 595147392.

The previous prime is 605209193. The next prime is 605209217. The reversal of 605209201 is 102902506.

The square root of 605209201 is 24601.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17631601 + 587577600 = 4199^2 + 24240^2 .

It is not a de Polignac number, because 605209201 - 2³ = 605209193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (605209291) 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 8 ways as a sum of consecutive naturals, for example, 1795705 + ... + 1796041.

It is an arithmetic number, because the mean of its divisors is an integer number (68382169).

Almost surely, 2^605209201 is an apocalyptic number.

605209201 is the 24601-st square number.

605209201 is the 12301-st centered octagonal number.

It is an amenable number.

605209201 is a deficient number, since it is larger than the sum of its proper divisors (10230320).

605209201 is an frugal number, since it uses more digits than its factorization.

605209201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The cubic root of 605209201 is about 845.8665298292.

Multiplying 605209201 by its sum of digits (25), we get a square (15130230025 = 123005²).

The spelling of 605209201 in words is "six hundred five million, two hundred nine thousand, two hundred one".