206713 has 4 divisors (see below), whose sum is σ = 222628. Its totient is φ = 190800.

The previous prime is 206699. The next prime is 206749. The reversal of 206713 is 317602.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 71289 = 368^2 + 267^2 .

It is a cyclic number.

It is not a de Polignac number, because 206713 - 2¹⁷ = 75641 is a prime.

It is a Duffinian number.

206713 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206783) 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 in 3 ways as a sum of consecutive naturals, for example, 7938 + ... + 7963.

It is an arithmetic number, because the mean of its divisors is an integer number (55657).

2²⁰⁶⁷¹³ is an apocalyptic number.

It is an amenable number.

206713 is a deficient number, since it is larger than the sum of its proper divisors (15915).

206713 is a wasteful number, since it uses less digits than its factorization.

206713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15914.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 206713 is about 454.6570135828. The cubic root of 206713 is about 59.1274654917.

Subtracting 206713 from its reverse (317602), we obtain a square (110889 = 333²).

It can be divided in two parts, 2067 and 13, that added together give a triangular number (2080 = T₆₄).

The spelling of 206713 in words is "two hundred six thousand, seven hundred thirteen".