205000 has 40 divisors (see below), whose sum is σ = 492030. Its totient is φ = 80000.
The previous prime is 204983. The next prime is 205019. The reversal of 205000 is 502.
It can be written as a sum of positive squares in 5 ways, for example, as 6084 + 198916 = 78^2 + 446^2 .
It is a sliding number, since 205000 = 5000 + 200000 and 1/5000 + 1/200000 = 0.000205000.
It is a tau number, because it is divible by the number of its divisors (40).
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4980 + ... + 5020.
2205000 is an apocalyptic number.
205000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246015).
205000 is an abundant number, since it is smaller than the sum of its proper divisors (287030).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
205000 is an equidigital number, since it uses as much as digits as its factorization.
205000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 67 (or 48 counting only the distinct ones).
The product of its (nonzero) digits is 10, while the sum is 7.
The square root of 205000 is about 452.7692569069. The cubic root of 205000 is about 58.9636853997.
Adding to 205000 its reverse (502), we get a palindrome (205502).
It can be divided in two parts, 20 and 5000, that multiplied together give a 5-th power (100000 = 105).
The spelling of 205000 in words is "two hundred five thousand".
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