211000820 has 24 divisors (see below), whose sum is σ = 443943528. Its totient is φ = 84240000.

The previous prime is 211000819. The next prime is 211000841. The reversal of 211000820 is 28000112.

211000820 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17123044 + 193877776 = 4138^2 + 13924^2 .

211000820 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 211000795 and 211000804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1070 + ... + 20570.

It is an arithmetic number, because the mean of its divisors is an integer number (18497647).

Almost surely, 2^211000820 is an apocalyptic number.

211000820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000820 is an abundant number, since it is smaller than the sum of its proper divisors (232942708).

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

211000820 is a wasteful number, since it uses less digits than its factorization.

211000820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20051 (or 20049 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 211000820 is about 14525.8672718706. The cubic root of 211000820 is about 595.3349525199.

Adding to 211000820 its reverse (28000112), we get a palindrome (239000932).

The spelling of 211000820 in words is "two hundred eleven million, eight hundred twenty", and thus it is an aban number.