209361 has 8 divisors (see below), whose sum is σ = 293920. Its totient is φ = 132192.

The previous prime is 209359. The next prime is 209371. The reversal of 209361 is 163902.

209361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 209361 - 2¹ = 209359 is a prime.

It is a Duffinian number.

209361 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 209361.

It is not an unprimeable number, because it can be changed into a prime (209311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1780 + ... + 1893.

It is an arithmetic number, because the mean of its divisors is an integer number (36740).

2²⁰⁹³⁶¹ is an apocalyptic number.

It is an amenable number.

209361 is a deficient number, since it is larger than the sum of its proper divisors (84559).

209361 is a wasteful number, since it uses less digits than its factorization.

209361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 209361 is about 457.5598321531. The cubic root of 209361 is about 59.3788699232.

The spelling of 209361 in words is "two hundred nine thousand, three hundred sixty-one".