63765 has 24 divisors (see below), whose sum is σ = 120120. Its totient is φ = 31104.

The previous prime is 63761. The next prime is 63773. The reversal of 63765 is 56736.

It can be written as a sum of positive squares in 4 ways, for example, as 3249 + 60516 = 57^2 + 246^2 .

It is not a de Polignac number, because 63765 - 2² = 63761 is a prime.

It is a d-powerful number, because it can be written as 6³ + 3⁴ + 7⁵ + 6⁶ + 5 .

63765 is a lucky number.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 531 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (5005).

2⁶³⁷⁶⁵ is an apocalyptic number.

63765 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

63765 is a deficient number, since it is larger than the sum of its proper divisors (56355).

63765 is a wasteful number, since it uses less digits than its factorization.

63765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

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

The square root of 63765 is about 252.5173261382. The cubic root of 63765 is about 39.9509816212.

It can be divided in two parts, 63 and 765, that added together give a palindrome (828).

The spelling of 63765 in words is "sixty-three thousand, seven hundred sixty-five".