63505 has 8 divisors (see below), whose sum is σ = 82152. Its totient is φ = 46848.

The previous prime is 63499. The next prime is 63521. The reversal of 63505 is 50536.

It is a Cunningham number, because it is equal to 252²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 54289 = 96^2 + 233^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 63505 - 2⁵ = 63473 is a prime.

It is a Duffinian number.

63505 is a lucky number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424 + ... + 553.

It is an arithmetic number, because the mean of its divisors is an integer number (10269).

2⁶³⁵⁰⁵ is an apocalyptic number.

63505 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

63505 is a deficient number, since it is larger than the sum of its proper divisors (18647).

63505 is a wasteful number, since it uses less digits than its factorization.

63505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995.

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 63505 is about 252.0019841192. The cubic root of 63505 is about 39.8966079825.

The spelling of 63505 in words is "sixty-three thousand, five hundred five".