34008633 has 16 divisors (see below), whose sum is σ = 50668800. Its totient is φ = 22543920.

The previous prime is 34008617. The next prime is 34008641. The reversal of 34008633 is 33680043.

34008633 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 34008633 - 2⁴ = 34008617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34008597 and 34008606.

It is not an unprimeable number, because it can be changed into a prime (34008433) 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 15 ways as a sum of consecutive naturals, for example, 1408 + ... + 8366.

It is an arithmetic number, because the mean of its divisors is an integer number (3166800).

Almost surely, 2^34008633 is an apocalyptic number.

It is an amenable number.

34008633 is a deficient number, since it is larger than the sum of its proper divisors (16660167).

34008633 is a wasteful number, since it uses less digits than its factorization.

34008633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149 (or 7143 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34008633 is about 5831.6921215030. The cubic root of 34008633 is about 323.9885969924.

Adding to 34008633 its reverse (33680043), we get a palindrome (67688676).

The spelling of 34008633 in words is "thirty-four million, eight thousand, six hundred thirty-three".