2000167 has 8 divisors (see below), whose sum is σ = 2195424. Its totient is φ = 1810848.

The previous prime is 2000153. The next prime is 2000177. The reversal of 2000167 is 7610002.

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

It is not a de Polignac number, because 2000167 - 2⁷ = 2000039 is a prime.

It is a Duffinian number.

2000167 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2000167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000107) 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, 763 + ... + 2140.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

2^2000167 is an apocalyptic number.

2000167 is a deficient number, since it is larger than the sum of its proper divisors (195257).

2000167 is a wasteful number, since it uses less digits than its factorization.

2000167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 2000167 is about 1414.2726045568. The cubic root of 2000167 is about 125.9956116721.

Adding to 2000167 its reverse (7610002), we get a palindrome (9610169).

The spelling of 2000167 in words is "two million, one hundred sixty-seven", and thus it is an aban number.