211541000 has 64 divisors (see below), whose sum is σ = 540034560. Its totient is φ = 76920000.

The previous prime is 211540999. The next prime is 211541009. The reversal of 211541000 is 145112.

211541000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211541009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1385 + ... + 20615.

It is an arithmetic number, because the mean of its divisors is an integer number (8438040).

Almost surely, 2^211541000 is an apocalyptic number.

211541000 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 211541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270017280).

211541000 is an abundant number, since it is smaller than the sum of its proper divisors (328493560).

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

211541000 is a wasteful number, since it uses less digits than its factorization.

211541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19263 (or 19249 counting only the distinct ones).

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

The square root of 211541000 is about 14544.4491129778. The cubic root of 211541000 is about 595.8425555921.

Adding to 211541000 its reverse (145112), we get a palindrome (211686112).

The spelling of 211541000 in words is "two hundred eleven million, five hundred forty-one thousand".