212771 has 6 divisors (see below), whose sum is σ = 230580. Its totient is φ = 196248.

The previous prime is 212701. The next prime is 212777. The reversal of 212771 is 177212.

212771 = 54² + 55² + ... + 92².

It is not a de Polignac number, because 212771 - 2¹⁰ = 211747 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (212777) 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 5 ways as a sum of consecutive naturals, for example, 461 + ... + 798.

It is an arithmetic number, because the mean of its divisors is an integer number (38430).

2²¹²⁷⁷¹ is an apocalyptic number.

212771 is a deficient number, since it is larger than the sum of its proper divisors (17809).

212771 is a wasteful number, since it uses less digits than its factorization.

212771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1272 counting only the distinct ones).

The product of its digits is 196, while the sum is 20.

The square root of 212771 is about 461.2710699795. The cubic root of 212771 is about 59.6995161886.

Adding to 212771 its reverse (177212), we get a palindrome (389983).

The spelling of 212771 in words is "two hundred twelve thousand, seven hundred seventy-one", and thus it is an iban number.