205075 has 12 divisors (see below), whose sum is σ = 274288. Its totient is φ = 151200.

The previous prime is 205069. The next prime is 205081. The reversal of 205075 is 570502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205069) and next prime (205081).

It is not a de Polignac number, because 205075 - 2⁵ = 205043 is a prime.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

205075 is a lucky number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 10 + ... + 640.

2²⁰⁵⁰⁷⁵ is an apocalyptic number.

205075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205075 is a deficient number, since it is larger than the sum of its proper divisors (69213).

205075 is a wasteful number, since it uses less digits than its factorization.

205075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 205075 is about 452.8520729775. The cubic root of 205075 is about 58.9708752163.

Adding to 205075 its reverse (570502), we get a palindrome (775577).

The spelling of 205075 in words is "two hundred five thousand, seventy-five".