63675 has 18 divisors (see below), whose sum is σ = 114452. Its totient is φ = 33840.

The previous prime is 63671. The next prime is 63689. The reversal of 63675 is 57636.

It is not a de Polignac number, because 63675 - 2² = 63671 is a prime.

It is a d-powerful number, because it can be written as 6 + 3⁴ + 6⁶ + 7⁵ + 5³ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 84 + ... + 366.

2⁶³⁶⁷⁵ is an apocalyptic number.

63675 is a deficient number, since it is larger than the sum of its proper divisors (50777).

63675 is a wasteful number, since it uses less digits than its factorization.

63675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 63675 is about 252.3390576189. The cubic root of 63675 is about 39.9321767318.

Subtracting from 63675 its product of digits (3780), we obtain a palindrome (59895).

The spelling of 63675 in words is "sixty-three thousand, six hundred seventy-five".