212025 has 24 divisors (see below), whose sum is σ = 383904. Its totient is φ = 102400.

The previous prime is 211997. The next prime is 212029. The reversal of 212025 is 520212.

212025 = 39² + 40² + ... + 88².

It is not a de Polignac number, because 212025 - 2¹¹ = 209977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212025.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212025.

It is not an unprimeable number, because it can be changed into a prime (212029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (15996).

2²¹²⁰²⁵ is an apocalyptic number.

212025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212025 is a deficient number, since it is larger than the sum of its proper divisors (171879).

212025 is a wasteful number, since it uses less digits than its factorization.

212025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 212025 is about 460.4617247937. The cubic root of 212025 is about 59.6296633265.

Adding to 212025 its reverse (520212), we get a palindrome (732237).

It can be divided in two parts, 2120 and 25, that added together give a triangular number (2145 = T₆₅).

The spelling of 212025 in words is "two hundred twelve thousand, twenty-five".