212461 has 2 divisors, whose sum is σ = 212462. Its totient is φ = 212460.

The previous prime is 212453. The next prime is 212467. The reversal of 212461 is 164212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126025 + 86436 = 355^2 + 294^2 .

It is a cyclic number.

It is not a de Polignac number, because 212461 - 2³ = 212453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212467) 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 as a sum of consecutive naturals, namely, 106230 + 106231.

It is an arithmetic number, because the mean of its divisors is an integer number (106231).

2²¹²⁴⁶¹ is an apocalyptic number.

It is an amenable number.

212461 is a deficient number, since it is larger than the sum of its proper divisors (1).

212461 is an equidigital number, since it uses as much as digits as its factorization.

212461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96, while the sum is 16.

The square root of 212461 is about 460.9349194843. The cubic root of 212461 is about 59.6705087185.

Adding to 212461 its reverse (164212), we get a palindrome (376673).

It can be divided in two parts, 21 and 2461, that multiplied together give a triangular number (51681 = T₃₂₁).

The spelling of 212461 in words is "two hundred twelve thousand, four hundred sixty-one".