22005667 has 16 divisors (see below), whose sum is σ = 24723360. Its totient is φ = 19464192.

The previous prime is 22005649. The next prime is 22005673. The reversal of 22005667 is 76650022.

It is a cyclic number.

It is not a de Polignac number, because 22005667 - 2⁷ = 22005539 is a prime.

It is a super-2 number, since 2×22005667² = 968498760229778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22005617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62163 + ... + 62515.

It is an arithmetic number, because the mean of its divisors is an integer number (1545210).

Almost surely, 2^22005667 is an apocalyptic number.

22005667 is a deficient number, since it is larger than the sum of its proper divisors (2717693).

22005667 is a wasteful number, since it uses less digits than its factorization.

22005667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 22005667 is about 4691.0198251553. The cubic root of 22005667 is about 280.2279903286.

Adding to 22005667 its reverse (76650022), we get a palindrome (98655689).

The spelling of 22005667 in words is "twenty-two million, five thousand, six hundred sixty-seven".