10345 has 4 divisors (see below), whose sum is σ = 12420. Its totient is φ = 8272.

The previous prime is 10343. The next prime is 10357. The reversal of 10345 is 54301.

Adding to 10345 its reverse (54301), we get a palindrome (64646).

Subtracting 10345 from its reverse (54301), we obtain a triangular number (43956 = T_{296}).

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 54301 = 13 ⋅4177.

It can be written as a sum of positive squares in 2 ways, for example, as 2601 + 7744 = 51^2 + 88^2 .

It is a cyclic number.

It is not a de Polignac number, because 10345 - 2^{1} = 10343 is a prime.

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

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (10343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1030 + ... + 1039.

It is an arithmetic number, because the mean of its divisors is an integer number (3105).

2^{10345} is an apocalyptic number.

It is an amenable number.

10345 is a deficient number, since it is larger than the sum of its proper divisors (2075).

10345 is an equidigital number, since it uses as much as digits as its factorization.

10345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 10345 is about 101.7103731190. The cubic root of 10345 is about 21.7893110351.

The spelling of 10345 in words is "ten thousand, three hundred forty-five".

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