220257 has 6 divisors (see below), whose sum is σ = 318162. Its totient is φ = 146832.

The previous prime is 220243. The next prime is 220279. The reversal of 220257 is 752022.

It is a happy number.

220257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 12321 = 456^2 + 111^2 .

It is not a de Polignac number, because 220257 - 2¹⁴ = 203873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12228 + ... + 12245.

It is an arithmetic number, because the mean of its divisors is an integer number (53027).

2²²⁰²⁵⁷ is an apocalyptic number.

It is an amenable number.

220257 is a deficient number, since it is larger than the sum of its proper divisors (97905).

220257 is a wasteful number, since it uses less digits than its factorization.

220257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24479 (or 24476 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 220257 is about 469.3154589399. The cubic root of 220257 is about 60.3916051956.

Adding to 220257 its reverse (752022), we get a palindrome (972279).

The spelling of 220257 in words is "two hundred twenty thousand, two hundred fifty-seven".