211552 has 24 divisors (see below), whose sum is σ = 455112. Its totient is φ = 96000.

The previous prime is 211543. The next prime is 211559. The reversal of 211552 is 255112.

211552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211559) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52 + ... + 652.

It is an arithmetic number, because the mean of its divisors is an integer number (18963).

2²¹¹⁵⁵² is an apocalyptic number.

211552 is a gapful number since it is divisible by the number (22) 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 211552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227556).

211552 is an abundant number, since it is smaller than the sum of its proper divisors (243560).

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

211552 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (211551) it forms an eRAP, since the sums of their prime factors are consecutive (621 and 622).

211552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its digits is 100, while the sum is 16.

The square root of 211552 is about 459.9478231278. The cubic root of 211552 is about 59.5852883227.

Adding to 211552 its reverse (255112), we get a palindrome (466664).

It can be divided in two parts, 2 and 11552, that multiplied together give a square (23104 = 152²).

The spelling of 211552 in words is "two hundred eleven thousand, five hundred fifty-two".