4667 has 4 divisors (see below), whose sum is σ = 5040. Its totient is φ = 4296.

The previous prime is 4663. The next prime is 4673. The reversal of 4667 is 7664.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 4667 - 2^{2} = 4663 is a prime.

It is a Duffinian number.

It is a plaindrome in base 6, base 10 and base 16.

It is not an unprimeable number, because it can be changed into a prime (4663) 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 in 3 ways as a sum of consecutive naturals, for example, 167 + ... + 192.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2^{4667} is an apocalyptic number.

4667 is a deficient number, since it is larger than the sum of its proper divisors (373).

4667 is a wasteful number, since it uses less digits than its factorization.

4667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

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

The square root of 4667 is about 68.3154448130. The cubic root of 4667 is about 16.7113909879.

The spelling of 4667 in words is "four thousand, six hundred sixty-seven".

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