5005667 has 8 divisors (see below), whose sum is σ = 5324256. Its totient is φ = 4689792.

The previous prime is 5005643. The next prime is 5005669. The reversal of 5005667 is 7665005.

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

It is a cyclic number.

It is not a de Polignac number, because 5005667 - 2⁸ = 5005411 is a prime.

It is a super-2 number, since 2×5005667² = 50113404229778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5005669) 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, 4178 + ... + 5240.

It is an arithmetic number, because the mean of its divisors is an integer number (665532).

Almost surely, 2^5005667 is an apocalyptic number.

5005667 is a deficient number, since it is larger than the sum of its proper divisors (318589).

5005667 is a wasteful number, since it uses less digits than its factorization.

5005667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357.

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 5005667 is about 2237.3347983706. The cubic root of 5005667 is about 171.0621731673.

The spelling of 5005667 in words is "five million, five thousand, six hundred sixty-seven".