212125 has 8 divisors (see below), whose sum is σ = 264888. Its totient is φ = 169600.

The previous prime is 212123. The next prime is 212131. The reversal of 212125 is 521212.

It can be written as a sum of positive squares in 4 ways, for example, as 1444 + 210681 = 38^2 + 459^2 .

It is not a de Polignac number, because 212125 - 2¹ = 212123 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 724 + ... + 973.

It is an arithmetic number, because the mean of its divisors is an integer number (33111).

2²¹²¹²⁵ is an apocalyptic number.

212125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212125 is a deficient number, since it is larger than the sum of its proper divisors (52763).

212125 is an equidigital number, since it uses as much as digits as its factorization.

212125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1702 counting only the distinct ones).

The product of its digits is 40, while the sum is 13.

The square root of 212125 is about 460.5702986516. The cubic root of 212125 is about 59.6390364808.

Adding to 212125 its reverse (521212), we get a palindrome (733337).

The spelling of 212125 in words is "two hundred twelve thousand, one hundred twenty-five".