2002667 has 2 divisors, whose sum is σ = 2002668. Its totient is φ = 2002666.

The previous prime is 2002661. The next prime is 2002669. The reversal of 2002667 is 7662002.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2002667 - 2⁶ = 2002603 is a prime.

It is a super-2 number, since 2×2002667² = 8021350225778, which contains 22 as substring.

Together with 2002669, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2002661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001333 + 1001334.

It is an arithmetic number, because the mean of its divisors is an integer number (1001334).

2^2002667 is an apocalyptic number.

2002667 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002667 is an equidigital number, since it uses as much as digits as its factorization.

2002667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2002667 is about 1415.1561751270. The cubic root of 2002667 is about 126.0480836050.

Adding to 2002667 its reverse (7662002), we get a palindrome (9664669).

The spelling of 2002667 in words is "two million, two thousand, six hundred sixty-seven".