42211009 has 9 divisors (see below), whose sum is σ = 43283433. Its totient is φ = 41164992.

The previous prime is 42211007. The next prime is 42211063. The reversal of 42211009 is 90011224.

The square root of 42211009 is 6497.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2873025 + 39337984 = 1695^2 + 6272^2 .

It is not a de Polignac number, because 42211009 - 2¹ = 42211007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42211007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 474237 + ... + 474325.

Almost surely, 2^42211009 is an apocalyptic number.

42211009 is the 6497-th square number.

42211009 is the 3249-th centered octagonal number.

It is an amenable number.

42211009 is a deficient number, since it is larger than the sum of its proper divisors (1072424).

42211009 is an frugal number, since it uses more digits than its factorization.

42211009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 42211009 is about 348.1838136909.

Multiplying 42211009 by its product of nonzero digits (144), we get a square (6078385296 = 77964²).

The spelling of 42211009 in words is "forty-two million, two hundred eleven thousand, nine".