205662 has 16 divisors (see below), whose sum is σ = 415872. Its totient is φ = 67800.

The previous prime is 205661. The next prime is 205663. The reversal of 205662 is 266502.

It is an interprime number because it is at equal distance from previous prime (205661) and next prime (205663).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205662.

It is not an unprimeable number, because it can be changed into a prime (205661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (25992).

2²⁰⁵⁶⁶² is an apocalyptic number.

It is a pronic number, being equal to 453×454.

205662 is an abundant number, since it is smaller than the sum of its proper divisors (210210).

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

205662 is a wasteful number, since it uses less digits than its factorization.

205662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 205662 is about 453.4997243660. The cubic root of 205662 is about 59.0270870548.

The spelling of 205662 in words is "two hundred five thousand, six hundred sixty-two".