211457 has 2 divisors, whose sum is σ = 211458. Its totient is φ = 211456.

The previous prime is 211441. The next prime is 211469. The reversal of 211457 is 754112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 78961 = 364^2 + 281^2 .

It is a cyclic number.

It is not a de Polignac number, because 211457 - 2⁴ = 211441 is a prime.

It is a Chen prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 211457.

It is not a weakly prime, because it can be changed into another prime (211427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105728 + 105729.

It is an arithmetic number, because the mean of its divisors is an integer number (105729).

It is a Proth number, since it is equal to 413 ⋅ 2⁹ + 1 and 413 < 2⁹.

2²¹¹⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

211457 is a deficient number, since it is larger than the sum of its proper divisors (1).

211457 is an equidigital number, since it uses as much as digits as its factorization.

211457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 280, while the sum is 20.

The square root of 211457 is about 459.8445389477. The cubic root of 211457 is about 59.5763678210.

Adding to 211457 its reverse (754112), we get a palindrome (965569).

The spelling of 211457 in words is "two hundred eleven thousand, four hundred fifty-seven".