206755641 has 9 divisors (see below), whose sum is σ = 298709359. Its totient is φ = 137808336.

The previous prime is 206755603. The next prime is 206755643. The reversal of 206755641 is 146557602.

It is a happy number.

The square root of 206755641 is 14379.

It is a perfect power (a square), and thus also a powerful number.

206755641 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 5 + 5 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 178623225 + 28132416 = 13365^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-206755641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 206755596 and 206755605.

It is not an unprimeable number, because it can be changed into a prime (206755643) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40741 + ... + 45533.

Almost surely, 2^206755641 is an apocalyptic number.

206755641 is the 14379-th square number.

206755641 is the 7190-th centered octagonal number.

It is an amenable number.

206755641 is a deficient number, since it is larger than the sum of its proper divisors (91953718).

206755641 is an frugal number, since it uses more digits than its factorization.

206755641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The cubic root of 206755641 is about 591.3153083984.

Multiplying 206755641 by its sum of digits (36), we get a square (7443203076 = 86274²).

The spelling of 206755641 in words is "two hundred six million, seven hundred fifty-five thousand, six hundred forty-one".