4200009 has 16 divisors (see below), whose sum is σ = 6160320. Its totient is φ = 2524160.

The previous prime is 4199989. The next prime is 4200013. The reversal of 4200009 is 9000024.

It is a cyclic number.

It is not a de Polignac number, because 4200009 - 2⁵ = 4199977 is a prime.

It is a Curzon number.

4200009 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4200019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4057 + ... + 4985.

It is an arithmetic number, because the mean of its divisors is an integer number (385020).

Almost surely, 2^4200009 is an apocalyptic number.

It is an amenable number.

4200009 is a deficient number, since it is larger than the sum of its proper divisors (1960311).

4200009 is a wasteful number, since it uses less digits than its factorization.

4200009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4200009 is about 2049.3923489659. The cubic root of 4200009 is about 161.3429798473.

Adding to 4200009 its sum of digits (15), we get a palindrome (4200024).

The spelling of 4200009 in words is "four million, two hundred thousand, nine".