2005667 has 2 divisors, whose sum is σ = 2005668. Its totient is φ = 2005666.

The previous prime is 2005613. The next prime is 2005673. The reversal of 2005667 is 7665002.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2005667 - 2¹⁶ = 1940131 is a prime.

It is a super-2 number, since 2×2005667² = 8045400229778, which contains 22 as substring.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (2005687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002833 + 1002834.

It is an arithmetic number, because the mean of its divisors is an integer number (1002834).

2^2005667 is an apocalyptic number.

2005667 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005667 is an equidigital number, since it uses as much as digits as its factorization.

2005667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 2005667 is about 1416.2157321538. The cubic root of 2005667 is about 126.1109923142.

The spelling of 2005667 in words is "two million, five thousand, six hundred sixty-seven".