2001567 has 8 divisors (see below), whose sum is σ = 2693680. Its totient is φ = 1321920.

The previous prime is 2001553. The next prime is 2001581. The reversal of 2001567 is 7651002.

It is an interprime number because it is at equal distance from previous prime (2001553) and next prime (2001581).

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

It is not a de Polignac number, because 2001567 - 2¹⁴ = 1985183 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001547) 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, 2734 + ... + 3387.

It is an arithmetic number, because the mean of its divisors is an integer number (336710).

2^2001567 is an apocalyptic number.

2001567 is a deficient number, since it is larger than the sum of its proper divisors (692113).

2001567 is a wasteful number, since it uses less digits than its factorization.

2001567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2001567 is about 1414.7674720603. The cubic root of 2001567 is about 126.0250013376.

Adding to 2001567 its reverse (7651002), we get a palindrome (9652569).

The spelling of 2001567 in words is "two million, one thousand, five hundred sixty-seven".