204525 has 30 divisors (see below), whose sum is σ = 382602. Its totient is φ = 108000.

The previous prime is 204521. The next prime is 204557. The reversal of 204525 is 525402.

It can be written as a sum of positive squares in 3 ways, for example, as 54756 + 149769 = 234^2 + 387^2 .

It is not a de Polignac number, because 204525 - 2² = 204521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204498 and 204507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204521) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1975 + ... + 2075.

2²⁰⁴⁵²⁵ is an apocalyptic number.

204525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

204525 is a deficient number, since it is larger than the sum of its proper divisors (178077).

204525 is a wasteful number, since it uses less digits than its factorization.

204525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

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

The square root of 204525 is about 452.2444029504. The cubic root of 204525 is about 58.9181091225.

Adding to 204525 its reverse (525402), we get a palindrome (729927).

It can be divided in two parts, 204 and 525, that added together give a 6-th power (729 = 3⁶).

The spelling of 204525 in words is "two hundred four thousand, five hundred twenty-five".