254205 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 115776.

The previous prime is 254197. The next prime is 254207. The reversal of 254205 is 502452.

It is not a de Polignac number, because 254205 - 2³ = 254197 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 254205.

It is not an unprimeable number, because it can be changed into a prime (254207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2²⁵⁴²⁰⁵ is an apocalyptic number.

It is an amenable number.

254205 is an abundant number, since it is smaller than the sum of its proper divisors (264195).

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

254205 is a wasteful number, since it uses less digits than its factorization.

254205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

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

The square root of 254205 is about 504.1874651357. The cubic root of 254205 is about 63.3472883992.

Adding to 254205 its reverse (502452), we get a palindrome (756657).

It can be divided in two parts, 25420 and 5, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 254205 in words is "two hundred fifty-four thousand, two hundred five".