226257 has 8 divisors (see below), whose sum is σ = 307584. Its totient is φ = 147888.

The previous prime is 226241. The next prime is 226267. The reversal of 226257 is 752622.

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

It is not a de Polignac number, because 226257 - 2⁴ = 226241 is a prime.

226257 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 226257.

It is not an unprimeable number, because it can be changed into a prime (226217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (38448).

2²²⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

226257 is a deficient number, since it is larger than the sum of its proper divisors (81327).

226257 is a wasteful number, since it uses less digits than its factorization.

226257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479.

The product of its digits is 1680, while the sum is 24.

The square root of 226257 is about 475.6647979407. The cubic root of 226257 is about 60.9350738022.

Adding to 226257 its reverse (752622), we get a palindrome (978879).

The spelling of 226257 in words is "two hundred twenty-six thousand, two hundred fifty-seven".