34385 has 12 divisors (see below), whose sum is σ = 46452. Its totient is φ = 24288.
The previous prime is 34381. The next prime is 34403. The reversal of 34385 is 58343.
34385 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 25921 = 92^2 + 161^2 .
It is not a de Polignac number, because 34385 - 22 = 34381 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (23).
It is an Ulam number.
It is an alternating number because its digits alternate between odd and even.
It is a Duffinian number.
34385 is strictly pandigital in base 6.
It is a Curzon number.
It is a nialpdrome in base 14 and base 16.
It is a self number, because there is not a number n which added to its sum of digits gives 34385.
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 34385.
It is not an unprimeable number, because it can be changed into a prime (34381) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1484 + ... + 1506.
It is an arithmetic number, because the mean of its divisors is an integer number (3871).
234385 is an apocalyptic number.
It is an amenable number.
34385 is a deficient number, since it is larger than the sum of its proper divisors (12067).
34385 is a wasteful number, since it uses less digits than its factorization.
34385 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 64 (or 41 counting only the distinct ones).
The product of its digits is 1440, while the sum is 23.
The square root of 34385 is about 185.4319282109. The cubic root of 34385 is about 32.5179388146.
It can be divided in two parts, 3438 and 5, that added together give a palindrome (3443).
The spelling of 34385 in words is "thirty-four thousand, three hundred eighty-five".
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