63633 has 4 divisors (see below), whose sum is σ = 84848. Its totient is φ = 42420.

The previous prime is 63629. The next prime is 63647. The reversal of 63633 is 33636.

63633 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 63633 - 2² = 63629 is a prime.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63533) 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, 10603 + ... + 10608.

It is an arithmetic number, because the mean of its divisors is an integer number (21212).

2⁶³⁶³³ is an apocalyptic number.

It is an amenable number.

63633 is a deficient number, since it is larger than the sum of its proper divisors (21215).

63633 is a wasteful number, since it uses less digits than its factorization.

63633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21214.

The product of its digits is 972, while the sum is 21.

The square root of 63633 is about 252.2558225294. The cubic root of 63633 is about 39.9233950524.

It can be divided in two parts, 63 and 633, that added together give a palindrome (696).

The spelling of 63633 in words is "sixty-three thousand, six hundred thirty-three".