205016 has 24 divisors (see below), whose sum is σ = 448020. Its totient is φ = 87696.

The previous prime is 204983. The next prime is 205019. The reversal of 205016 is 610502.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205019) by changing a digit.

205016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131 + ... + 653.

2²⁰⁵⁰¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224010).

205016 is an abundant number, since it is smaller than the sum of its proper divisors (243004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205016 is a wasteful number, since it uses less digits than its factorization.

205016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 205016 is about 452.7869256063. The cubic root of 205016 is about 58.9652193744.

Adding to 205016 its reverse (610502), we get a palindrome (815518).

The spelling of 205016 in words is "two hundred five thousand, sixteen".