63763 has 4 divisors (see below), whose sum is σ = 72880. Its totient is φ = 54648.

The previous prime is 63761. The next prime is 63773. The reversal of 63763 is 36736.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 63763 - 2¹ = 63761 is a prime.

It is a d-powerful number, because it can be written as 6³ + 3 + 7⁵ + 6⁶ + 3⁴ .

It is a Duffinian number.

63763 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (63761) 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, 4548 + ... + 4561.

It is an arithmetic number, because the mean of its divisors is an integer number (18220).

2⁶³⁷⁶³ is an apocalyptic number.

63763 is a deficient number, since it is larger than the sum of its proper divisors (9117).

63763 is an equidigital number, since it uses as much as digits as its factorization.

63763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9116.

The product of its digits is 2268, while the sum is 25.

The square root of 63763 is about 252.5133659829. The cubic root of 63763 is about 39.9505639270.

It can be divided in two parts, 6 and 3763, that multiplied together give a triangular number (22578 = T₂₁₂).

The spelling of 63763 in words is "sixty-three thousand, seven hundred sixty-three".