212257 has 8 divisors (see below), whose sum is σ = 225792. Its totient is φ = 199200.

The previous prime is 212243. The next prime is 212281. The reversal of 212257 is 752212.

212257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212257 - 2¹¹ = 210209 is a prime.

It is a d-powerful number, because it can be written as 2⁴ + 1 + 2¹⁶ + 2¹⁷ + 5⁶ + 7 .

It is a Duffinian number.

212257 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1188 + ... + 1354.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2²¹²²⁵⁷ is an apocalyptic number.

It is an amenable number.

212257 is a deficient number, since it is larger than the sum of its proper divisors (13535).

212257 is a wasteful number, since it uses less digits than its factorization.

212257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its digits is 280, while the sum is 19.

The square root of 212257 is about 460.7135769651. The cubic root of 212257 is about 59.6514045349.

Adding to 212257 its reverse (752212), we get a palindrome (964469).

It can be divided in two parts, 21 and 2257, that added together give a triangular number (2278 = T₆₇).

The spelling of 212257 in words is "two hundred twelve thousand, two hundred fifty-seven".