6309 has 6 divisors (see below), whose sum is σ = 9126. Its totient is φ = 4200.

The previous prime is 6301. The next prime is 6311. The reversal of 6309 is 9036.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 225 = 78^2 + 15^2 .

It is not a de Polignac number, because 6309 - 2³ = 6301 is a prime.

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

It is a Curzon number.

6309 is a lucky number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 6291 and 6300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 342 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (1521).

2⁶³⁰⁹ is an apocalyptic number.

It is an amenable number.

6309 is a deficient number, since it is larger than the sum of its proper divisors (2817).

6309 is a wasteful number, since it uses less digits than its factorization.

6309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 6309 is about 79.4292137692. The cubic root of 6309 is about 18.4779381519.

The spelling of 6309 in words is "six thousand, three hundred nine".