209461 has 8 divisors (see below), whose sum is σ = 249984. Its totient is φ = 171600.

The previous prime is 209459. The next prime is 209471. The reversal of 209461 is 164902.

209461 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 a cyclic number.

It is not a de Polignac number, because 209461 - 2¹ = 209459 is a prime.

209461 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209401) 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, 490 + ... + 811.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2²⁰⁹⁴⁶¹ is an apocalyptic number.

It is an amenable number.

209461 is a deficient number, since it is larger than the sum of its proper divisors (40523).

209461 is a wasteful number, since it uses less digits than its factorization.

209461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 209461 is about 457.6690944340. The cubic root of 209461 is about 59.3883224030.

The spelling of 209461 in words is "two hundred nine thousand, four hundred sixty-one".