2167561 has 8 divisors (see below), whose sum is σ = 2389248. Its totient is φ = 1950000.

The previous prime is 2167549. The next prime is 2167573. The reversal of 2167561 is 1657612.

It is an interprime number because it is at equal distance from previous prime (2167549) and next prime (2167573).

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 2167561 - 2⁷ = 2167433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2167531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136 + ... + 2086.

It is an arithmetic number, because the mean of its divisors is an integer number (298656).

2^2167561 is an apocalyptic number.

It is an amenable number.

2167561 is a deficient number, since it is larger than the sum of its proper divisors (221687).

2167561 is a wasteful number, since it uses less digits than its factorization.

2167561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063.

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

The square root of 2167561 is about 1472.2639029739. The cubic root of 2167561 is about 129.4167361281.

It can be divided in two parts, 21675 and 61, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 2167561 in words is "two million, one hundred sixty-seven thousand, five hundred sixty-one".