211601 has 8 divisors (see below), whose sum is σ = 234024. Its totient is φ = 190080.

The previous prime is 211597. The next prime is 211619. The reversal of 211601 is 106112.

211601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 460²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 211600 = 1^2 + 460^2 .

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 211601 - 2² = 211597 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (211661) 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, 335 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (29253).

2²¹¹⁶⁰¹ is an apocalyptic number.

It is an amenable number.

211601 is a deficient number, since it is larger than the sum of its proper divisors (22423).

211601 is a wasteful number, since it uses less digits than its factorization.

211601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 211601 is about 460.0010869552. The cubic root of 211601 is about 59.5898883796.

Adding to 211601 its reverse (106112), we get a palindrome (317713).

The spelling of 211601 in words is "two hundred eleven thousand, six hundred one".