123633 has 16 divisors (see below), whose sum is σ = 193600. Its totient is φ = 77760.

The previous prime is 123631. The next prime is 123637. The reversal of 123633 is 336321.

It is a happy number.

It is not a de Polignac number, because 123633 - 2¹ = 123631 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (12100).

2¹²³⁶³³ is an apocalyptic number.

It is an amenable number.

123633 is a deficient number, since it is larger than the sum of its proper divisors (69967).

123633 is a wasteful number, since it uses less digits than its factorization.

123633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 123633 is about 351.6148461029. The cubic root of 123633 is about 49.8170648442.

Adding to 123633 its reverse (336321), we get a palindrome (459954).

The spelling of 123633 in words is "one hundred twenty-three thousand, six hundred thirty-three".