8442009 has 16 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 5595120.

The previous prime is 8441969. The next prime is 8442011. The reversal of 8442009 is 9002448.

It is not a de Polignac number, because 8442009 - 2⁹ = 8441497 is a prime.

It is a super-3 number, since 3×8442009³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

8442009 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8442029) 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, 4339 + ... + 5975.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^8442009 is an apocalyptic number.

It is an amenable number.

8442009 is a deficient number, since it is larger than the sum of its proper divisors (4137831).

8442009 is a wasteful number, since it uses less digits than its factorization.

8442009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8442009 is about 2905.5135518528. The cubic root of 8442009 is about 203.6175794060.

The spelling of 8442009 in words is "eight million, four hundred forty-two thousand, nine".