7643 has 2 divisors, whose sum is σ = 7644. Its totient is φ = 7642.

The previous prime is 7639. The next prime is 7649. The reversal of 7643 is 3467.

It is a weak prime.

7643 is a truncatable prime.

It is an emirp because it is prime and its reverse (3467) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7643 - 2² = 7639 is a prime.

It is a Sophie Germain prime.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7643.

It is not a weakly prime, because it can be changed into another prime (7649) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3821 + 3822.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2⁷⁶⁴³ is an apocalyptic number.

7643 is a deficient number, since it is larger than the sum of its proper divisors (1).

7643 is an equidigital number, since it uses as much as digits as its factorization.

7643 is an evil number, because the sum of its binary digits is even.

The product of its digits is 504, while the sum is 20.

The square root of 7643 is about 87.4242529279. The cubic root of 7643 is about 19.6979616021.

It can be divided in two parts, 764 and 3, that added together give a palindrome (767).

The spelling of 7643 in words is "seven thousand, six hundred forty-three".