34314417 has 12 divisors (see below), whose sum is σ = 50774724. Its totient is φ = 22318080.

The previous prime is 34314409. The next prime is 34314419. The reversal of 34314417 is 71441343.

It can be written as a sum of positive squares in 2 ways, for example, as 720801 + 33593616 = 849^2 + 5796^2 .

It is not a de Polignac number, because 34314417 - 2³ = 34314409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34314419) 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 11 ways as a sum of consecutive naturals, for example, 46128 + ... + 46865.

It is an arithmetic number, because the mean of its divisors is an integer number (4231227).

Almost surely, 2^34314417 is an apocalyptic number.

It is an amenable number.

34314417 is a deficient number, since it is larger than the sum of its proper divisors (16460307).

34314417 is a wasteful number, since it uses less digits than its factorization.

34314417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93040 (or 93037 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 34314417 is about 5857.8508857771. The cubic root of 34314417 is about 324.9567342799.

The spelling of 34314417 in words is "thirty-four million, three hundred fourteen thousand, four hundred seventeen".