1267561 has 8 divisors (see below), whose sum is σ = 1326600. Its totient is φ = 1209600.

The previous prime is 1267549. The next prime is 1267577. The reversal of 1267561 is 1657621.

It can be written as a sum of positive squares in 4 ways, for example, as 714025 + 553536 = 845^2 + 744^2 .

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

It is a 3-Lehmer number, since φ(1267561) divides (1267561-1)³.

It is a cyclic number.

It is not a de Polignac number, because 1267561 - 2⁵ = 1267529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1267501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2961 + ... + 3361.

It is an arithmetic number, because the mean of its divisors is an integer number (165825).

2^1267561 is an apocalyptic number.

1267561 is the 504-th centered decagonal number.

It is an amenable number.

1267561 is a deficient number, since it is larger than the sum of its proper divisors (59039).

1267561 is a wasteful number, since it uses less digits than its factorization.

1267561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539.

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

The square root of 1267561 is about 1125.8601156449. The cubic root of 1267561 is about 108.2238441465.

The spelling of 1267561 in words is "one million, two hundred sixty-seven thousand, five hundred sixty-one".