226521 has 6 divisors (see below), whose sum is σ = 327210. Its totient is φ = 151008.

The previous prime is 226511. The next prime is 226531. The reversal of 226521 is 125622.

It is an interprime number because it is at equal distance from previous prime (226511) and next prime (226531).

It can be written as a sum of positive squares in only one way, i.e., 168921 + 57600 = 411^2 + 240^2 .

It is not a de Polignac number, because 226521 - 2¹¹ = 224473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 226494 and 226503.

It is not an unprimeable number, because it can be changed into a prime (226511) 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 5 ways as a sum of consecutive naturals, for example, 12576 + ... + 12593.

It is an arithmetic number, because the mean of its divisors is an integer number (54535).

2²²⁶⁵²¹ is an apocalyptic number.

It is an amenable number.

226521 is a deficient number, since it is larger than the sum of its proper divisors (100689).

226521 is a wasteful number, since it uses less digits than its factorization.

226521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25175 (or 25172 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 226521 is about 475.9422233843. The cubic root of 226521 is about 60.9587645708.

It can be divided in two parts, 226 and 521, that added together give a palindrome (747).

The spelling of 226521 in words is "two hundred twenty-six thousand, five hundred twenty-one".