211520 has 28 divisors (see below), whose sum is σ = 504444. Its totient is φ = 84480.

The previous prime is 211507. The next prime is 211543. The reversal of 211520 is 25112.

211520 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 123904 + 87616 = 352^2 + 296^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 211520.

It is an unprimeable number.

211520 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 650.

2²¹¹⁵²⁰ is an apocalyptic number.

211520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252222).

211520 is an abundant number, since it is smaller than the sum of its proper divisors (292924).

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

211520 is an equidigital number, since it uses as much as digits as its factorization.

211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 211520 is about 459.9130352578. The cubic root of 211520 is about 59.5822838204.

Adding to 211520 its reverse (25112), we get a palindrome (236632).

The spelling of 211520 in words is "two hundred eleven thousand, five hundred twenty".