205282 has 32 divisors (see below), whose sum is σ = 405504. Its totient is φ = 75600.

The previous prime is 205267. The next prime is 205297. The reversal of 205282 is 282502.

It is an interprime number because it is at equal distance from previous prime (205267) and next prime (205297).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4753 + ... + 4795.

It is an arithmetic number, because the mean of its divisors is an integer number (12672).

2²⁰⁵²⁸² is an apocalyptic number.

205282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

205282 is a deficient number, since it is larger than the sum of its proper divisors (200222).

205282 is a wasteful number, since it uses less digits than its factorization.

205282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 205282 is about 453.0805667870. The cubic root of 205282 is about 58.9907100187.

Adding to 205282 its reverse (282502), we get a palindrome (487784).

The spelling of 205282 in words is "two hundred five thousand, two hundred eighty-two".