205275 has 48 divisors (see below), whose sum is σ = 428544. Its totient is φ = 84480.

The previous prime is 205267. The next prime is 205297. The reversal of 205275 is 572502.

It is not a de Polignac number, because 205275 - 2³ = 205267 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

205275 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8914 + ... + 8936.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2²⁰⁵²⁷⁵ is an apocalyptic number.

205275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205275 is an abundant number, since it is smaller than the sum of its proper divisors (223269).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205275 is a wasteful number, since it uses less digits than its factorization.

205275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 205275 is about 453.0728418257. The cubic root of 205275 is about 58.9900394944.

Adding to 205275 its reverse (572502), we get a palindrome (777777).

The spelling of 205275 in words is "two hundred five thousand, two hundred seventy-five".