212525 has 6 divisors (see below), whose sum is σ = 263562. Its totient is φ = 170000.

The previous prime is 212507. The next prime is 212557. The reversal of 212525 is 525212.

It can be written as a sum of positive squares in 3 ways, for example, as 4 + 212521 = 2^2 + 461^2 .

It is not a de Polignac number, because 212525 - 2⁶ = 212461 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212525.

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 5 ways as a sum of consecutive naturals, for example, 4226 + ... + 4275.

It is an arithmetic number, because the mean of its divisors is an integer number (43927).

2²¹²⁵²⁵ is an apocalyptic number.

212525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212525 is a deficient number, since it is larger than the sum of its proper divisors (51037).

212525 is an equidigital number, since it uses as much as digits as its factorization.

212525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511 (or 8506 counting only the distinct ones).

The product of its digits is 200, while the sum is 17.

The square root of 212525 is about 461.0043383744. The cubic root of 212525 is about 59.6764996677.

Adding to 212525 its reverse (525212), we get a palindrome (737737).

It can be divided in two parts, 212 and 525, that added together give a palindrome (737).

The spelling of 212525 in words is "two hundred twelve thousand, five hundred twenty-five".