211248 has 50 divisors (see below), whose sum is σ = 615164. Its totient is φ = 69984.

The previous prime is 211247. The next prime is 211271. The reversal of 211248 is 842112.

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 nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 211248.

It is not an unprimeable number, because it can be changed into a prime (211241) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1215 + ... + 1377.

2²¹¹²⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307582).

211248 is an abundant number, since it is smaller than the sum of its proper divisors (403916).

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

211248 is a wasteful number, since it uses less digits than its factorization.

211248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 211248 is about 459.6172320529. The cubic root of 211248 is about 59.5567333084.

The spelling of 211248 in words is "two hundred eleven thousand, two hundred forty-eight".