206461 has 2 divisors, whose sum is σ = 206462. Its totient is φ = 206460.

The previous prime is 206447. The next prime is 206467. The reversal of 206461 is 164602.

It is the 186-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164025 + 42436 = 405^2 + 206^2 .

It is a cyclic number.

It is not a de Polignac number, because 206461 - 2⁹ = 205949 is a prime.

It is a super-2 number, since 2×206461² = 85252289042, which contains 22 as substring.

It is a Chen prime.

206461 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (206467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103230 + 103231.

It is an arithmetic number, because the mean of its divisors is an integer number (103231).

2²⁰⁶⁴⁶¹ is an apocalyptic number.

It is an amenable number.

206461 is a deficient number, since it is larger than the sum of its proper divisors (1).

206461 is an equidigital number, since it uses as much as digits as its factorization.

206461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 206461 is about 454.3797970861. The cubic root of 206461 is about 59.1034286545.

The spelling of 206461 in words is "two hundred six thousand, four hundred sixty-one".