211265 has 16 divisors (see below), whose sum is σ = 276480. Its totient is φ = 154560.

The previous prime is 211247. The next prime is 211271. The reversal of 211265 is 562112.

It is not a de Polignac number, because 211265 - 2¹⁰ = 210241 is a prime.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4472 + ... + 4518.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2²¹¹²⁶⁵ is an apocalyptic number.

It is an amenable number.

211265 is a deficient number, since it is larger than the sum of its proper divisors (65215).

211265 is a wasteful number, since it uses less digits than its factorization.

211265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its digits is 120, while the sum is 17.

The square root of 211265 is about 459.6357253304. The cubic root of 211265 is about 59.5583308577.

Adding to 211265 its reverse (562112), we get a palindrome (773377).

It can be divided in two parts, 21 and 1265, that multiplied together give a triangular number (26565 = T₂₃₀).

The spelling of 211265 in words is "two hundred eleven thousand, two hundred sixty-five".