65808 has 30 divisors (see below), whose sum is σ = 184574. Its totient is φ = 21888.

The previous prime is 65789. The next prime is 65809. The reversal of 65808 is 80856.

65808 is a `hidden beast` number, since 658 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 2304 = 252^2 + 48^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85 + ... + 372.

2⁶⁵⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

65808 is an abundant number, since it is smaller than the sum of its proper divisors (118766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65808 is a wasteful number, since it uses less digits than its factorization.

65808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 65808 is about 256.5306999172. The cubic root of 65808 is about 40.3731743624.

The spelling of 65808 in words is "sixty-five thousand, eight hundred eight".