34106085 has 48 divisors (see below), whose sum is σ = 64222704. Its totient is φ = 16644096.

The previous prime is 34106047. The next prime is 34106089. The reversal of 34106085 is 58060143.

It can be written as a sum of positive squares in 8 ways, for example, as 720801 + 33385284 = 849^2 + 5778^2 .

It is not a de Polignac number, because 34106085 - 2¹⁴ = 34089701 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34106089) 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 47 ways as a sum of consecutive naturals, for example, 101037 + ... + 101373.

It is an arithmetic number, because the mean of its divisors is an integer number (1337973).

Almost surely, 2^34106085 is an apocalyptic number.

It is an amenable number.

34106085 is a deficient number, since it is larger than the sum of its proper divisors (30116619).

34106085 is a wasteful number, since it uses less digits than its factorization.

34106085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 34106085 is about 5840.0415238250. The cubic root of 34106085 is about 324.2977658123.

The spelling of 34106085 in words is "thirty-four million, one hundred six thousand, eighty-five".