65663 has 4 divisors (see below), whose sum is σ = 70728. Its totient is φ = 60600.

The previous prime is 65657. The next prime is 65677. The reversal of 65663 is 36656.

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 65663 - 2⁴ = 65647 is a prime.

It is a Duffinian number.

It is a plaindrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65633) 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, 2513 + ... + 2538.

It is an arithmetic number, because the mean of its divisors is an integer number (17682).

2⁶⁵⁶⁶³ is an apocalyptic number.

65663 is a deficient number, since it is larger than the sum of its proper divisors (5065).

65663 is a wasteful number, since it uses less digits than its factorization.

65663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064.

The product of its digits is 3240, while the sum is 26.

The square root of 65663 is about 256.2479268209. The cubic root of 65663 is about 40.3435000819.

It can be divided in two parts, 656 and 63, that multiplied together give a triangular number (41328 = T₂₈₇).

The spelling of 65663 in words is "sixty-five thousand, six hundred sixty-three".