2101667 has 2 divisors, whose sum is σ = 2101668. Its totient is φ = 2101666.

The previous prime is 2101657. The next prime is 2101669. The reversal of 2101667 is 7661012.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101667 - 2⁴ = 2101651 is a prime.

Together with 2101669, 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 (2101669) 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 as a sum of consecutive naturals, namely, 1050833 + 1050834.

It is an arithmetic number, because the mean of its divisors is an integer number (1050834).

2^2101667 is an apocalyptic number.

2101667 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101667 is an equidigital number, since it uses as much as digits as its factorization.

2101667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 2101667 is about 1449.7127301642. The cubic root of 2101667 is about 128.0917920680.

Adding to 2101667 its reverse (7661012), we get a palindrome (9762679).

The spelling of 2101667 in words is "two million, one hundred one thousand, six hundred sixty-seven".