816205 has 16 divisors (see below), whose sum is σ = 1093680. Its totient is φ = 580608.

The previous prime is 816203. The next prime is 816209. The reversal of 816205 is 502618.

816205 = T₂₅ + T₂₆ + ... + T₁₆₉.

It is a happy number.

816205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 171396 + 644809 = 414^2 + 803^2 .

It is a cyclic number.

It is not a de Polignac number, because 816205 - 2¹ = 816203 is a prime.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1669 + ... + 2101.

It is an arithmetic number, because the mean of its divisors is an integer number (68355).

2⁸¹⁶²⁰⁵ is an apocalyptic number.

It is an amenable number.

816205 is a deficient number, since it is larger than the sum of its proper divisors (277475).

816205 is a wasteful number, since it uses less digits than its factorization.

816205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 816205 is about 903.4406455324. The cubic root of 816205 is about 93.4543992991.

The spelling of 816205 in words is "eight hundred sixteen thousand, two hundred five".