34511085 has 48 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 15586560.

The previous prime is 34511083. The next prime is 34511101. The reversal of 34511085 is 58011543.

34511085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34511085 - 2¹ = 34511083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34511083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27420 + ... + 28650.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^34511085 is an apocalyptic number.

34511085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34511085 is an abundant number, since it is smaller than the sum of its proper divisors (34678035).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34511085 is a wasteful number, since it uses less digits than its factorization.

34511085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 34511085 is about 5874.6136043148. The cubic root of 34511085 is about 325.5763658096.

The spelling of 34511085 in words is "thirty-four million, five hundred eleven thousand, eighty-five".