4567 has 2 divisors, whose sum is σ = 4568. Its totient is φ = 4566.

The previous prime is 4561. The next prime is 4583. The reversal of 4567 is 7654.

4567 is an esthetic number in base 5 and base 10, because in such bases its adjacent digits differ by 1.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4567 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

4567 is a lucky number.

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2283 + 2284.

It is an arithmetic number, because the mean of its divisors is an integer number (2284).

2⁴⁵⁶⁷ is an apocalyptic number.

4567 is a deficient number, since it is larger than the sum of its proper divisors (1).

4567 is an equidigital number, since it uses as much as digits as its factorization.

4567 is an evil number, because the sum of its binary digits is even.

The product of its digits is 840, while the sum is 22.

The square root of 4567 is about 67.5795827155. The cubic root of 4567 is about 16.5911696394.

Adding to 4567 its reverse (7654), we get a palindrome (12221).

The spelling of 4567 in words is "four thousand, five hundred sixty-seven".