8345 has 4 divisors (see below), whose sum is σ = 10020. Its totient is φ = 6672.

The previous prime is 8329. The next prime is 8353. The reversal of 8345 is 5438.

It can be divided in two parts, 83 and 45, that added together give a 7-th power (128 = 2^{7}).

8345 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5438 = 2 ⋅2719.

It can be written as a sum of positive squares in 2 ways, for example, as 3721 + 4624 = 61^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 8345 - 2^{4} = 8329 is a prime.

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

8345 is strictly pandigital in base 6.

It is a Curzon number.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 8345.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 830 + ... + 839.

It is an arithmetic number, because the mean of its divisors is an integer number (2505).

It is an amenable number.

8345 is a deficient number, since it is larger than the sum of its proper divisors (1675).

8345 is a wasteful number, since it uses less digits than its factorization.

8345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674.

The product of its digits is 480, while the sum is 20.

The square root of 8345 is about 91.3509715329. The cubic root of 8345 is about 20.2834634432.

The spelling of 8345 in words is "eight thousand, three hundred forty-five".

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