34133009 has 2 divisors, whose sum is σ = 34133010. Its totient is φ = 34133008.

The previous prime is 34132999. The next prime is 34133089. The reversal of 34133009 is 90033143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19140625 + 14992384 = 4375^2 + 3872^2 .

It is an emirp because it is prime and its reverse (90033143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34133009 - 2²⁰ = 33084433 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34133089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17066504 + 17066505.

It is an arithmetic number, because the mean of its divisors is an integer number (17066505).

Almost surely, 2^34133009 is an apocalyptic number.

It is an amenable number.

34133009 is a deficient number, since it is larger than the sum of its proper divisors (1).

34133009 is an equidigital number, since it uses as much as digits as its factorization.

34133009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 34133009 is about 5842.3461896741. The cubic root of 34133009 is about 324.3830789998.

The spelling of 34133009 in words is "thirty-four million, one hundred thirty-three thousand, nine".