204971 has 4 divisors (see below), whose sum is σ = 220752. Its totient is φ = 189192.

The previous prime is 204947. The next prime is 204973. The reversal of 204971 is 179402.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 204971 - 2¹⁰ = 203947 is a prime.

It is a super-2 number, since 2×204971² = 84026221682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7871 + ... + 7896.

It is an arithmetic number, because the mean of its divisors is an integer number (55188).

2²⁰⁴⁹⁷¹ is an apocalyptic number.

204971 is a deficient number, since it is larger than the sum of its proper divisors (15781).

204971 is a wasteful number, since it uses less digits than its factorization.

204971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15780.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 204971 is about 452.7372306316. The cubic root of 204971 is about 58.9609048672.

The spelling of 204971 in words is "two hundred four thousand, nine hundred seventy-one".