34005413 has 8 divisors (see below), whose sum is σ = 36677088. Its totient is φ = 31341744.

The previous prime is 34005343. The next prime is 34005427. The reversal of 34005413 is 31450043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34005413 - 2¹⁴ = 33989029 is a prime.

It is a super-2 number, since 2×34005413² = 2312736226601138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34005443) 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 7 ways as a sum of consecutive naturals, for example, 9170 + ... + 12332.

It is an arithmetic number, because the mean of its divisors is an integer number (4584636).

Almost surely, 2^34005413 is an apocalyptic number.

It is an amenable number.

34005413 is a deficient number, since it is larger than the sum of its proper divisors (2671675).

34005413 is a wasteful number, since it uses less digits than its factorization.

34005413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 34005413 is about 5831.4160372932. The cubic root of 34005413 is about 323.9783713906.

Adding to 34005413 its reverse (31450043), we get a palindrome (65455456).

The spelling of 34005413 in words is "thirty-four million, five thousand, four hundred thirteen".