7633 has 4 divisors (see below), whose sum is σ = 8100. Its totient is φ = 7168.

The previous prime is 7621. The next prime is 7639. The reversal of 7633 is 3367.

It is a happy number.

7633 is nontrivially palindromic in base 16.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5329 + 2304 = 73^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 7633 - 2⁹ = 7121 is a prime.

It is a Duffinian number.

7633 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 7633.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208 + ... + 241.

It is an arithmetic number, because the mean of its divisors is an integer number (2025).

2⁷⁶³³ is an apocalyptic number.

It is an amenable number.

7633 is a deficient number, since it is larger than the sum of its proper divisors (467).

7633 is a wasteful number, since it uses less digits than its factorization.

7633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466.

The product of its digits is 378, while the sum is 19.

The square root of 7633 is about 87.3670418407. The cubic root of 7633 is about 19.6893670019.

The spelling of 7633 in words is "seven thousand, six hundred thirty-three".