205575 has 12 divisors (see below), whose sum is σ = 340008. Its totient is φ = 109600.

The previous prime is 205559. The next prime is 205589. The reversal of 205575 is 575502.

It is not a de Polignac number, because 205575 - 2⁴ = 205559 is a prime.

It is a super-2 number, since 2×205575² = 84522161250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1296 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (28334).

2²⁰⁵⁵⁷⁵ is an apocalyptic number.

205575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205575 is a deficient number, since it is larger than the sum of its proper divisors (134433).

205575 is a wasteful number, since it uses less digits than its factorization.

205575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 205575 is about 453.4037935439. The cubic root of 205575 is about 59.0187625858.

It can be divided in two parts, 205 and 575, that added together give a triangular number (780 = T₃₉).

The spelling of 205575 in words is "two hundred five thousand, five hundred seventy-five".