212575 has 12 divisors (see below), whose sum is σ = 287928. Its totient is φ = 154400.

The previous prime is 212573. The next prime is 212579. The reversal of 212575 is 575212.

It is not a de Polignac number, because 212575 - 2¹ = 212573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112 + ... + 661.

It is an arithmetic number, because the mean of its divisors is an integer number (23994).

2²¹²⁵⁷⁵ is an apocalyptic number.

212575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212575 is a deficient number, since it is larger than the sum of its proper divisors (75353).

212575 is a wasteful number, since it uses less digits than its factorization.

212575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 789 counting only the distinct ones).

The product of its digits is 700, while the sum is 22.

The square root of 212575 is about 461.0585646097. The cubic root of 212575 is about 59.6811792600.

Adding to 212575 its reverse (575212), we get a palindrome (787787).

It can be divided in two parts, 212 and 575, that added together give a palindrome (787).

The spelling of 212575 in words is "two hundred twelve thousand, five hundred seventy-five".