42221205 has 24 divisors (see below), whose sum is σ = 78814008. Its totient is φ = 20785536.

The previous prime is 42221203. The next prime is 42221209. The reversal of 42221205 is 50212224.

It can be written as a sum of positive squares in 4 ways, for example, as 463761 + 41757444 = 681^2 + 6462^2 .

It is not a de Polignac number, because 42221205 - 2¹ = 42221203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42221203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35502 + ... + 36671.

It is an arithmetic number, because the mean of its divisors is an integer number (3283917).

Almost surely, 2^42221205 is an apocalyptic number.

42221205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42221205 is a deficient number, since it is larger than the sum of its proper divisors (36592803).

42221205 is a wasteful number, since it uses less digits than its factorization.

42221205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72197 (or 72194 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42221205 is about 6497.7846224694. The cubic root of 42221205 is about 348.2118458437.

Adding to 42221205 its reverse (50212224), we get a palindrome (92433429).

The spelling of 42221205 in words is "forty-two million, two hundred twenty-one thousand, two hundred five".