34106289 has 16 divisors (see below), whose sum is σ = 52211712. Its totient is φ = 19399248.

The previous prime is 34106279. The next prime is 34106299. The reversal of 34106289 is 98260143.

It is an interprime number because it is at equal distance from previous prime (34106279) and next prime (34106299).

It is not a de Polignac number, because 34106289 - 2¹¹ = 34104241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34106279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042 + ... + 8324.

It is an arithmetic number, because the mean of its divisors is an integer number (3263232).

Almost surely, 2^34106289 is an apocalyptic number.

34106289 is the 3122-nd nonagonal number.

It is an amenable number.

34106289 is a deficient number, since it is larger than the sum of its proper divisors (18105423).

34106289 is a wasteful number, since it uses less digits than its factorization.

34106289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 34106289 is about 5840.0589894281. The cubic root of 34106289 is about 324.2984123891.

The spelling of 34106289 in words is "thirty-four million, one hundred six thousand, two hundred eighty-nine".