63645 has 8 divisors (see below), whose sum is σ = 101856. Its totient is φ = 33936.

The previous prime is 63629. The next prime is 63647. The reversal of 63645 is 54636.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 63645 - 2⁴ = 63629 is a prime.

It is a Curzon number.

63645 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2107 + ... + 2136.

It is an arithmetic number, because the mean of its divisors is an integer number (12732).

2⁶³⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

63645 is a deficient number, since it is larger than the sum of its proper divisors (38211).

63645 is a wasteful number, since it uses less digits than its factorization.

63645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251.

The product of its digits is 2160, while the sum is 24.

The square root of 63645 is about 252.2796067858. The cubic root of 63645 is about 39.9259044978.

Subtracting from 63645 its reverse (54636), we obtain a palindrome (9009).

The spelling of 63645 in words is "sixty-three thousand, six hundred forty-five".