4649 has 2 divisors, whose sum is σ = 4650. Its totient is φ = 4648.

The previous prime is 4643. The next prime is 4651. The reversal of 4649 is 9464.

4649 is nontrivially palindromic in base 7.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4624 + 25 = 68^2 + 5^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-4649 is a prime.

It is a super-2 number, since 2×4649^{2} = 43226402, which contains 22 as substring.

Together with 4651, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as **4**^{4} + **4**^{6} + **6**^{3} + **9**^{2} .

It is a plaindrome in base 15 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 4649.

It is not a weakly prime, because it can be changed into another prime (4643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2324 + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (2325).

2^{4649} is an apocalyptic number.

It is an amenable number.

4649 is a deficient number, since it is larger than the sum of its proper divisors (1).

4649 is an equidigital number, since it uses as much as digits as its factorization.

4649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 23.

The square root of 4649 is about 68.1835757349. The cubic root of 4649 is about 16.6898787680.

The spelling of 4649 in words is "four thousand, six hundred forty-nine".

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