211641 has 16 divisors (see below), whose sum is σ = 307200. Its totient is φ = 129168.

The previous prime is 211639. The next prime is 211643. The reversal of 211641 is 146112.

It is an interprime number because it is at equal distance from previous prime (211639) and next prime (211643).

It is not a de Polignac number, because 211641 - 2¹ = 211639 is a prime.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 211641.

It is not an unprimeable number, because it can be changed into a prime (211643) 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 15 ways as a sum of consecutive naturals, for example, 2640 + ... + 2718.

It is an arithmetic number, because the mean of its divisors is an integer number (19200).

2²¹¹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

211641 is a deficient number, since it is larger than the sum of its proper divisors (95559).

211641 is a wasteful number, since it uses less digits than its factorization.

211641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148.

The product of its digits is 48, while the sum is 15.

The square root of 211641 is about 460.0445630588. The cubic root of 211641 is about 59.5936430017.

Adding to 211641 its reverse (146112), we get a palindrome (357753).

The spelling of 211641 in words is "two hundred eleven thousand, six hundred forty-one".