34305 has 8 divisors (see below), whose sum is σ = 54912. Its totient is φ = 18288.

The previous prime is 34303. The next prime is 34313. The reversal of 34305 is 50343.

34305 = 54² + 55² + ... + 63².

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

It is not a de Polignac number, because 34305 - 2¹ = 34303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 2287 = 34305 / (3 + 4 + 3 + 0 + 5).

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

It is a Curzon number.

34305 is a lucky number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1129 + ... + 1158.

It is an arithmetic number, because the mean of its divisors is an integer number (6864).

It is a Proth number, since it is equal to 67 ⋅ 2⁹ + 1 and 67 < 2⁹.

2³⁴³⁰⁵ is an apocalyptic number.

It is an amenable number.

34305 is a deficient number, since it is larger than the sum of its proper divisors (20607).

34305 is a wasteful number, since it uses less digits than its factorization.

34305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 34305 is about 185.2160900138. The cubic root of 34305 is about 32.4927005303.

Adding to 34305 its reverse (50343), we get a palindrome (84648).

The spelling of 34305 in words is "thirty-four thousand, three hundred five".