206331441 has 16 divisors (see below), whose sum is σ = 279470400. Its totient is φ = 135390528.

The previous prime is 206331407. The next prime is 206331451. The reversal of 206331441 is 144133602.

It is not a de Polignac number, because 206331441 - 2⁷ = 206331313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (206331451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49330 + ... + 53348.

It is an arithmetic number, because the mean of its divisors is an integer number (17466900).

Almost surely, 2^206331441 is an apocalyptic number.

It is an amenable number.

206331441 is a deficient number, since it is larger than the sum of its proper divisors (73138959).

206331441 is a wasteful number, since it uses less digits than its factorization.

206331441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 206331441 is about 14364.2417481745. The cubic root of 206331441 is about 590.9106314975.

It can be divided in two parts, 20 and 6331441, that added together give a triangular number (6331461 = T₃₅₅₈).

The spelling of 206331441 in words is "two hundred six million, three hundred thirty-one thousand, four hundred forty-one".