205254 has 40 divisors (see below), whose sum is σ = 528528. Its totient is φ = 58320.

The previous prime is 205253. The next prime is 205267. The reversal of 205254 is 452502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205253) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1044 + ... + 1224.

2²⁰⁵²⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264264).

205254 is an abundant number, since it is smaller than the sum of its proper divisors (323274).

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

205254 is a wasteful number, since it uses less digits than its factorization.

205254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 205254 is about 453.0496661515. The cubic root of 205254 is about 58.9880278303.

Adding to 205254 its reverse (452502), we get a palindrome (657756).

The spelling of 205254 in words is "two hundred five thousand, two hundred fifty-four".