205950 has 24 divisors (see below), whose sum is σ = 511128. Its totient is φ = 54880.

The previous prime is 205949. The next prime is 205951. The reversal of 205950 is 59502.

It is an interprime number because it is at equal distance from previous prime (205949) and next prime (205951).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205951) 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, 537 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (21297).

2²⁰⁵⁹⁵⁰ is an apocalyptic number.

205950 is an abundant number, since it is smaller than the sum of its proper divisors (305178).

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

205950 is a wasteful number, since it uses less digits than its factorization.

205950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 205950 is about 453.8171437925. The cubic root of 205950 is about 59.0546271805.

The spelling of 205950 in words is "two hundred five thousand, nine hundred fifty".