227205 has 48 divisors (see below), whose sum is σ = 471744. Its totient is φ = 103680.

The previous prime is 227191. The next prime is 227207. The reversal of 227205 is 502722.

227205 = T₆₂ + T₆₃ + ... + T₁₁₆.

It is a happy number.

It is not a de Polignac number, because 227205 - 2⁴ = 227189 is a prime.

It is a super-2 number, since 2×227205² = 103244224050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227207) 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 47 ways as a sum of consecutive naturals, for example, 13357 + ... + 13373.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2²²⁷²⁰⁵ is an apocalyptic number.

It is an amenable number.

227205 is an abundant number, since it is smaller than the sum of its proper divisors (244539).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

227205 is a wasteful number, since it uses less digits than its factorization.

227205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 36 counting only the distinct ones).

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

The square root of 227205 is about 476.6602563672. The cubic root of 227205 is about 61.0200596931.

Adding to 227205 its reverse (502722), we get a palindrome (729927).

It can be divided in two parts, 22 and 7205, that added together give a palindrome (7227).

The spelling of 227205 in words is "two hundred twenty-seven thousand, two hundred five".