34307 has 12 divisors (see below), whose sum is σ = 43920. Its totient is φ = 26208.

The previous prime is 34303. The next prime is 34313. The reversal of 34307 is 70343.

It is not a de Polignac number, because 34307 - 2² = 34303 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34307.

It is not an unprimeable number, because it can be changed into a prime (34301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1169 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (3660).

2³⁴³⁰⁷ is an apocalyptic number.

34307 is a deficient number, since it is larger than the sum of its proper divisors (9613).

34307 is a wasteful number, since it uses less digits than its factorization.

34307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 34307 is about 185.2214890341. The cubic root of 34307 is about 32.4933319653.

It can be divided in two parts, 3 and 4307, that multiplied together give a palindrome (12921).

The spelling of 34307 in words is "thirty-four thousand, three hundred seven".