34207985 has 16 divisors (see below), whose sum is σ = 47108736. Its totient is φ = 23359488.

The previous prime is 34207967. The next prime is 34208003. The reversal of 34207985 is 58970243.

34207985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34207967) and next prime (34208003).

It is a cyclic number.

It is not a de Polignac number, because 34207985 - 2¹² = 34203889 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7094 + ... + 10896.

It is an arithmetic number, because the mean of its divisors is an integer number (2944296).

Almost surely, 2^34207985 is an apocalyptic number.

34207985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34207985 is a deficient number, since it is larger than the sum of its proper divisors (12900751).

34207985 is a wasteful number, since it uses less digits than its factorization.

34207985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 34207985 is about 5848.7592701358. The cubic root of 34207985 is about 324.6204167996.

The spelling of 34207985 in words is "thirty-four million, two hundred seven thousand, nine hundred eighty-five".