205001 has 4 divisors (see below), whose sum is σ = 212100. Its totient is φ = 197904.

The previous prime is 204983. The next prime is 205019. The reversal of 205001 is 100502.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (204983) and next prime (205019).

It can be written as a sum of positive squares in 2 ways, for example, as 89401 + 115600 = 299^2 + 340^2 .

It is a cyclic number.

It is not a de Polignac number, because 205001 - 2¹⁰ = 203977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205001.

It is not an unprimeable number, because it can be changed into a prime (205031) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3506 + ... + 3563.

It is an arithmetic number, because the mean of its divisors is an integer number (53025).

2²⁰⁵⁰⁰¹ is an apocalyptic number.

It is an amenable number.

205001 is a deficient number, since it is larger than the sum of its proper divisors (7099).

205001 is an equidigital number, since it uses as much as digits as its factorization.

205001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7098.

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 205001 is about 452.7703612208. The cubic root of 205001 is about 58.9637812755.

Adding to 205001 its reverse (100502), we get a palindrome (305503).

The spelling of 205001 in words is "two hundred five thousand, one".