34365 has 16 divisors (see below), whose sum is σ = 57600. Its totient is φ = 17472.

The previous prime is 34361. The next prime is 34367. The reversal of 34365 is 56343.

34365 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34365 - 2² = 34361 is a prime.

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

34365 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34365.

It is not an unprimeable number, because it can be changed into a prime (34361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2³⁴³⁶⁵ is an apocalyptic number.

It is an amenable number.

34365 is a deficient number, since it is larger than the sum of its proper divisors (23235).

34365 is a wasteful number, since it uses less digits than its factorization.

34365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its digits is 1080, while the sum is 21.

The square root of 34365 is about 185.3779922213. The cubic root of 34365 is about 32.5116329165.

The spelling of 34365 in words is "thirty-four thousand, three hundred sixty-five".