6345 has 16 divisors (see below), whose sum is σ = 11520. Its totient is φ = 3312.

The previous prime is 6343. The next prime is 6353. The reversal of 6345 is 5436.

Added to its reverse (5436) it gives a triangular number (11781 = T₁₅₃).

It is a happy number.

6345 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 6345 - 2¹ = 6343 is a prime.

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

6345 is a lucky number.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6345.

It is not an unprimeable number, because it can be changed into a prime (6343) 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, 112 + ... + 158.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

2⁶³⁴⁵ is an apocalyptic number.

It is an amenable number.

6345 is a deficient number, since it is larger than the sum of its proper divisors (5175).

6345 is a wasteful number, since it uses less digits than its factorization.

6345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 6345 is about 79.6555082841. The cubic root of 6345 is about 18.5130173783.

Adding to 6345 its reverse (5436), we get a triangular number (11781 = T₁₅₃).

Subtracting from 6345 its reverse (5436), we obtain a palindrome (909).

It can be divided in two parts, 6 and 345, that added together give a triangular number (351 = T₂₆).

The spelling of 6345 in words is "six thousand, three hundred forty-five".