2002567 has 8 divisors (see below), whose sum is σ = 2297216. Its totient is φ = 1710072.

The previous prime is 2002547. The next prime is 2002577. The reversal of 2002567 is 7652002.

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

It is not a de Polignac number, because 2002567 - 2¹¹ = 2000519 is a prime.

It is a Duffinian number.

2002567 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002547) 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, 3388 + ... + 3934.

It is an arithmetic number, because the mean of its divisors is an integer number (287152).

2^2002567 is an apocalyptic number.

2002567 is a deficient number, since it is larger than the sum of its proper divisors (294649).

2002567 is an equidigital number, since it uses as much as digits as its factorization.

2002567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 2002567 is about 1415.1208428965. The cubic root of 2002567 is about 126.0459855664.

Adding to 2002567 its reverse (7652002), we get a palindrome (9654569).

The spelling of 2002567 in words is "two million, two thousand, five hundred sixty-seven".