211145 has 12 divisors (see below), whose sum is σ = 279300. Its totient is φ = 153120.

The previous prime is 211129. The next prime is 211151. The reversal of 211145 is 541112.

211145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 116281 + 94864 = 341^2 + 308^2 .

It is not a de Polignac number, because 211145 - 2⁴ = 211129 is a prime.

It is a super-2 number, since 2×211145² = 89164422050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (23275).

2²¹¹¹⁴⁵ is an apocalyptic number.

It is an amenable number.

211145 is a deficient number, since it is larger than the sum of its proper divisors (68155).

211145 is a wasteful number, since it uses less digits than its factorization.

211145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its digits is 40, while the sum is 14.

The square root of 211145 is about 459.5051686325. The cubic root of 211145 is about 59.5470522056.

Adding to 211145 its reverse (541112), we get a palindrome (752257).

It can be divided in two parts, 21114 and 5, that multiplied together give a triangular number (105570 = T₄₅₉).

The spelling of 211145 in words is "two hundred eleven thousand, one hundred forty-five".