242257 has 2 divisors, whose sum is σ = 242258. Its totient is φ = 242256.

The previous prime is 242243. The next prime is 242261. The reversal of 242257 is 752242.

242257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239121 + 3136 = 489^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 242257 - 2⁷ = 242129 is a prime.

It is not a weakly prime, because it can be changed into another prime (242227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121128 + 121129.

It is an arithmetic number, because the mean of its divisors is an integer number (121129).

2²⁴²²⁵⁷ is an apocalyptic number.

It is an amenable number.

242257 is a deficient number, since it is larger than the sum of its proper divisors (1).

242257 is an equidigital number, since it uses as much as digits as its factorization.

242257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1120, while the sum is 22.

The square root of 242257 is about 492.1960991312. The cubic root of 242257 is about 62.3388488420.

Adding to 242257 its reverse (752242), we get a palindrome (994499).

The spelling of 242257 in words is "two hundred forty-two thousand, two hundred fifty-seven".