6712561 has 8 divisors (see below), whose sum is σ = 6948648. Its totient is φ = 6480000.

The previous prime is 6712513. The next prime is 6712579. The reversal of 6712561 is 1652176.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 4906225 = 1344^2 + 2215^2 .

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

It is a 4-Lehmer number, since φ(6712561) divides (6712561-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 6712561 - 2²¹ = 4615409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6712591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3331 + ... + 4951.

It is an arithmetic number, because the mean of its divisors is an integer number (868581).

Almost surely, 2^6712561 is an apocalyptic number.

It is an amenable number.

6712561 is a deficient number, since it is larger than the sum of its proper divisors (236087).

6712561 is a wasteful number, since it uses less digits than its factorization.

6712561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763.

The product of its digits is 2520, while the sum is 28.

The square root of 6712561 is about 2590.8610537812. The cubic root of 6712561 is about 188.6381007138.

The spelling of 6712561 in words is "six million, seven hundred twelve thousand, five hundred sixty-one".