63766 has 4 divisors (see below), whose sum is σ = 95652. Its totient is φ = 31882.

The previous prime is 63761. The next prime is 63773. The reversal of 63766 is 66736.

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

It is a super-2 number, since 2×63766² = 8132205512, which contains 22 as substring.

It is a d-powerful number, because it can be written as 6 + 3⁴ + 7⁵ + 6³ + 6⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63761) by changing a digit.

63766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15940 + ... + 15943.

It is an arithmetic number, because the mean of its divisors is an integer number (23913).

2⁶³⁷⁶⁶ is an apocalyptic number.

63766 is a deficient number, since it is larger than the sum of its proper divisors (31886).

63766 is a wasteful number, since it uses less digits than its factorization.

63766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31885.

The product of its digits is 4536, while the sum is 28.

The square root of 63766 is about 252.5193061926. The cubic root of 63766 is about 39.9511904650.

It can be divided in two parts, 637 and 66, that added together give a triangular number (703 = T₃₇).

The spelling of 63766 in words is "sixty-three thousand, seven hundred sixty-six".