204967 has 12 divisors (see below), whose sum is σ = 246240. Its totient is φ = 170016.

The previous prime is 204947. The next prime is 204973. The reversal of 204967 is 769402.

It is not a de Polignac number, because 204967 - 2¹⁵ = 172199 is a prime.

It is a super-2 number, since 2×204967² = 84022942178, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2259 + ... + 2347.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2²⁰⁴⁹⁶⁷ is an apocalyptic number.

204967 is a deficient number, since it is larger than the sum of its proper divisors (41273).

204967 is an equidigital number, since it uses as much as digits as its factorization.

204967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 204967 is about 452.7328130366. The cubic root of 204967 is about 58.9605213248.

It can be divided in two parts, 20496 and 7, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 204967 in words is "two hundred four thousand, nine hundred sixty-seven".