205944 has 16 divisors (see below), whose sum is σ = 514920. Its totient is φ = 68640.

The previous prime is 205937. The next prime is 205949. The reversal of 205944 is 449502.

It is a super-2 number, since 2×205944² = 84825862272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8581 = 205944 / (2 + 0 + 5 + 9 + 4 + 4).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205949) 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, 4267 + ... + 4314.

2²⁰⁵⁹⁴⁴ is an apocalyptic number.

205944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205944 is an abundant number, since it is smaller than the sum of its proper divisors (308976).

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

205944 is a wasteful number, since it uses less digits than its factorization.

205944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8590 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 205944 is about 453.8105331523. The cubic root of 205944 is about 59.0540536899.

The spelling of 205944 in words is "two hundred five thousand, nine hundred forty-four".