212540177 has 2 divisors, whose sum is σ = 212540178. Its totient is φ = 212540176.

The previous prime is 212540143. The next prime is 212540179. The reversal of 212540177 is 771045212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169624576 + 42915601 = 13024^2 + 6551^2 .

It is a cyclic number.

It is not a de Polignac number, because 212540177 - 2⁶ = 212540113 is a prime.

Together with 212540179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (212540179) 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, 106270088 + 106270089.

It is an arithmetic number, because the mean of its divisors is an integer number (106270089).

Almost surely, 2^212540177 is an apocalyptic number.

It is an amenable number.

212540177 is a deficient number, since it is larger than the sum of its proper divisors (1).

212540177 is an equidigital number, since it uses as much as digits as its factorization.

212540177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 212540177 is about 14578.7577317136. The cubic root of 212540177 is about 596.7792018872.

Adding to 212540177 its reverse (771045212), we get a palindrome (983585389).

The spelling of 212540177 in words is "two hundred twelve million, five hundred forty thousand, one hundred seventy-seven".