205975 has 24 divisors (see below), whose sum is σ = 321408. Its totient is φ = 127200.

The previous prime is 205967. The next prime is 205981. The reversal of 205975 is 579502.

205975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205975 - 2³ = 205967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1872 + ... + 1978.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2²⁰⁵⁹⁷⁵ is an apocalyptic number.

205975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205975 is a deficient number, since it is larger than the sum of its proper divisors (115433).

205975 is a wasteful number, since it uses less digits than its factorization.

205975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 205975 is about 453.8446870902. The cubic root of 205975 is about 59.0570166051.

It can be divided in two parts, 20597 and 5, that added together give a palindrome (20602).

The spelling of 205975 in words is "two hundred five thousand, nine hundred seventy-five".