204953 has 16 divisors (see below), whose sum is σ = 261120. Its totient is φ = 156816.

The previous prime is 204947. The next prime is 204973. The reversal of 204953 is 359402.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-204953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3026 + ... + 3092.

It is an arithmetic number, because the mean of its divisors is an integer number (16320).

2²⁰⁴⁹⁵³ is an apocalyptic number.

204953 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

204953 is a deficient number, since it is larger than the sum of its proper divisors (56167).

204953 is a wasteful number, since it uses less digits than its factorization.

204953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 204953 is about 452.7173511144. The cubic root of 204953 is about 58.9591788875.

204953 divided by its sum of digits (23) gives a triangular number (8911 = T₁₃₃).

Subtracting 204953 from its reverse (359402), we obtain a square (154449 = 393²).

The spelling of 204953 in words is "two hundred four thousand, nine hundred fifty-three".