226577 has 8 divisors (see below), whose sum is σ = 252840. Its totient is φ = 201600.

The previous prime is 226571. The next prime is 226601. The reversal of 226577 is 775622.

It is a happy number.

226577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 476²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 192721 = 184^2 + 439^2 .

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 226577 - 2¹⁴ = 210193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226571) 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, 77 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (31605).

2²²⁶⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

226577 is a deficient number, since it is larger than the sum of its proper divisors (26263).

226577 is a wasteful number, since it uses less digits than its factorization.

226577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643.

The product of its digits is 5880, while the sum is 29.

The square root of 226577 is about 476.0010504190. The cubic root of 226577 is about 60.9637875187.

The spelling of 226577 in words is "two hundred twenty-six thousand, five hundred seventy-seven".