211266 has 36 divisors (see below), whose sum is σ = 508326. Its totient is φ = 63360.

The previous prime is 211247. The next prime is 211271. The reversal of 211266 is 662112.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 184041 + 27225 = 429^2 + 165^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2130 + ... + 2226.

2²¹¹²⁶⁶ is an apocalyptic number.

211266 is the 291-st heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254163).

211266 is an abundant number, since it is smaller than the sum of its proper divisors (297060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211266 is a wasteful number, since it uses less digits than its factorization.

211266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 211266 is about 459.6368131471. The cubic root of 211266 is about 59.5584248286.

Adding to 211266 its reverse (662112), we get a palindrome (873378).

It can be divided in two parts, 21126 and 6, that multiplied together give a triangular number (126756 = T₅₀₃).

The spelling of 211266 in words is "two hundred eleven thousand, two hundred sixty-six".