422305 has 16 divisors (see below), whose sum is σ = 559440. Its totient is φ = 304128.

The previous prime is 422291. The next prime is 422309. The reversal of 422305 is 503224.

422305 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 8 ways, for example, as 63504 + 358801 = 252^2 + 599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-422305 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4701 + ... + 4789.

It is an arithmetic number, because the mean of its divisors is an integer number (34965).

2⁴²²³⁰⁵ is an apocalyptic number.

It is an amenable number.

422305 is a deficient number, since it is larger than the sum of its proper divisors (137135).

422305 is a wasteful number, since it uses less digits than its factorization.

422305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 422305 is about 649.8499826883. The cubic root of 422305 is about 75.0254728290.

Adding to 422305 its reverse (503224), we get a palindrome (925529).

It can be divided in two parts, 422 and 305, that added together give a palindrome (727).

The spelling of 422305 in words is "four hundred twenty-two thousand, three hundred five".