65705 has 8 divisors (see below), whose sum is σ = 83592. Its totient is φ = 49408.

The previous prime is 65701. The next prime is 65707. The reversal of 65705 is 50756.

65705 = T₈₆ + T₈₇ + ... + T₁₀₀.

It can be written as a sum of positive squares in 4 ways, for example, as 2704 + 63001 = 52^2 + 251^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 65705 - 2² = 65701 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (10449).

2⁶⁵⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

65705 is a deficient number, since it is larger than the sum of its proper divisors (17887).

65705 is a wasteful number, since it uses less digits than its factorization.

65705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 65705 is about 256.3298656029. The cubic root of 65705 is about 40.3520998811.

The spelling of 65705 in words is "sixty-five thousand, seven hundred five".