206541 has 12 divisors (see below), whose sum is σ = 304668. Its totient is φ = 134784.

The previous prime is 206527. The next prime is 206543. The reversal of 206541 is 145602.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81225 + 125316 = 285^2 + 354^2 .

It is not a de Polignac number, because 206541 - 2⁶ = 206477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206543) 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, 261 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2²⁰⁶⁵⁴¹ is an apocalyptic number.

It is an amenable number.

206541 is a deficient number, since it is larger than the sum of its proper divisors (98127).

206541 is a wasteful number, since it uses less digits than its factorization.

206541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 206541 is about 454.4678206430. The cubic root of 206541 is about 59.1110615144. Note that the first 3 decimals are identical.

It can be divided in two parts, 206 and 541, that added together give a palindrome (747).

The spelling of 206541 in words is "two hundred six thousand, five hundred forty-one".