211264 has 14 divisors (see below), whose sum is σ = 419354. Its totient is φ = 105600.

The previous prime is 211247. The next prime is 211271. The reversal of 211264 is 462112.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 57600 = 392^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1587 + ... + 1714.

2²¹¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

211264 is a deficient number, since it is larger than the sum of its proper divisors (208090).

211264 is an equidigital number, since it uses as much as digits as its factorization.

211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3303 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 211264 is about 459.6346375111. The cubic root of 211264 is about 59.5582368866.

Adding to 211264 its reverse (462112), we get a palindrome (673376).

The spelling of 211264 in words is "two hundred eleven thousand, two hundred sixty-four".