211825 has 12 divisors (see below), whose sum is σ = 270940. Its totient is φ = 164160.

The previous prime is 211817. The next prime is 211859. The reversal of 211825 is 528112.

It can be written as a sum of positive squares in 6 ways, for example, as 24336 + 187489 = 156^2 + 433^2 .

It is not a de Polignac number, because 211825 - 2³ = 211817 is a prime.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811 + ... + 1039.

2²¹¹⁸²⁵ is an apocalyptic number.

211825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211825 is a deficient number, since it is larger than the sum of its proper divisors (59115).

211825 is a wasteful number, since it uses less digits than its factorization.

211825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its digits is 160, while the sum is 19.

The square root of 211825 is about 460.2445002387. The cubic root of 211825 is about 59.6109081726.

Adding to 211825 its reverse (528112), we get a palindrome (739937).

The spelling of 211825 in words is "two hundred eleven thousand, eight hundred twenty-five".