4967 has 2 divisors, whose sum is σ = 4968. Its totient is φ = 4966.

The previous prime is 4957. The next prime is 4969. The reversal of 4967 is 7694.

It is a strong prime.

4967 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 4967 - 2⁴ = 4951 is a prime.

Together with 4969, it forms a pair of twin primes.

It is a Chen prime.

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

It is a plaindrome in base 6 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4967.

It is not a weakly prime, because it can be changed into another prime (4969) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2483 + 2484.

It is an arithmetic number, because the mean of its divisors is an integer number (2484).

2⁴⁹⁶⁷ is an apocalyptic number.

4967 is a deficient number, since it is larger than the sum of its proper divisors (1).

4967 is an equidigital number, since it uses as much as digits as its factorization.

4967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 26.

The square root of 4967 is about 70.4769465854. The cubic root of 4967 is about 17.0620569283.

The spelling of 4967 in words is "four thousand, nine hundred sixty-seven".