Search a number
7649 is a prime number

7649 has 2 divisors, whose sum is σ = 7650. Its totient is φ = 7648.

The previous prime is 7643. The next prime is 7669. The reversal of 7649 is 9467.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4624 + 3025 = 68^2 + 55^2 .

It is an emirp because it is prime and its reverse (9467) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7649 - 28 = 7393 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7649.

It is not a weakly prime, because it can be changed into another prime (7643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3824 + 3825.

It is an arithmetic number, because the mean of its divisors is an integer number (3825).

27649 is an apocalyptic number.

It is an amenable number.

7649 is a deficient number, since it is larger than the sum of its proper divisors (1).

7649 is an equidigital number, since it uses as much as digits as its factorization.

7649 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 7649 is about 87.4585616163. The cubic root of 7649 is about 19.7031147643.

It can be divided in two parts, 76 and 49, that added together give a cube (125 = 53).

The spelling of 7649 in words is "seven thousand, six hundred forty-nine".