6561337 has 8 divisors (see below), whose sum is σ = 7187400. Its totient is φ = 5961984.

The previous prime is 6561319. The next prime is 6561383. The reversal of 6561337 is 7331656.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 6295081 = 516^2 + 2509^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6561337 - 2⁷ = 6561209 is a prime.

It is a super-2 number, since 2×6561337² = 86102286455138, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6561299 and 6561308.

It is not an unprimeable number, because it can be changed into a prime (6561307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6162 + ... + 7147.

It is an arithmetic number, because the mean of its divisors is an integer number (898425).

Almost surely, 2^6561337 is an apocalyptic number.

It is an amenable number.

6561337 is a deficient number, since it is larger than the sum of its proper divisors (626063).

6561337 is a wasteful number, since it uses less digits than its factorization.

6561337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13355.

The product of its digits is 11340, while the sum is 31.

The square root of 6561337 is about 2561.5106870751. The cubic root of 6561337 is about 187.2107492701.

The spelling of 6561337 in words is "six million, five hundred sixty-one thousand, three hundred thirty-seven".