34209009 has 24 divisors (see below), whose sum is σ = 52102440. Its totient is φ = 21595392.

The previous prime is 34209001. The next prime is 34209011. The reversal of 34209009 is 90090243.

It can be written as a sum of positive squares in 4 ways, for example, as 12446784 + 21762225 = 3528^2 + 4665^2 .

It is not a de Polignac number, because 34209009 - 2³ = 34209001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34209001) 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, 12597 + ... + 15069.

It is an arithmetic number, because the mean of its divisors is an integer number (2170935).

Almost surely, 2^34209009 is an apocalyptic number.

It is an amenable number.

34209009 is a deficient number, since it is larger than the sum of its proper divisors (17893431).

34209009 is a wasteful number, since it uses less digits than its factorization.

34209009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 34209009 is about 5848.8468094147. The cubic root of 34209009 is about 324.6236558873.

The spelling of 34209009 in words is "thirty-four million, two hundred nine thousand, nine".