6801309 has 12 divisors (see below), whose sum is σ = 10402236. Its totient is φ = 4267392.

The previous prime is 6801299. The next prime is 6801313. The reversal of 6801309 is 9031086.

6801309 = T₈₈₆ + T₈₈₇ + ... + T₉₀₂.

It can be written as a sum of positive squares in 2 ways, for example, as 3229209 + 3572100 = 1797^2 + 1890^2 .

It is not a de Polignac number, because 6801309 - 2¹³ = 6793117 is a prime.

It is a super-2 number, since 2×6801309² = 92515608226962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6801329) 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, 22074 + ... + 22379.

It is an arithmetic number, because the mean of its divisors is an integer number (866853).

Almost surely, 2^6801309 is an apocalyptic number.

It is an amenable number.

6801309 is a deficient number, since it is larger than the sum of its proper divisors (3600927).

6801309 is a wasteful number, since it uses less digits than its factorization.

6801309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44476 (or 44473 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6801309 is about 2607.9319392960. The cubic root of 6801309 is about 189.4658032663.

The spelling of 6801309 in words is "six million, eight hundred one thousand, three hundred nine".