64805 has 8 divisors (see below), whose sum is σ = 83832. Its totient is φ = 47808.

The previous prime is 64793. The next prime is 64811. The reversal of 64805 is 50846.

It can be written as a sum of positive squares in 4 ways, for example, as 6724 + 58081 = 82^2 + 241^2 .

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 64805 - 2¹⁰ = 63781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64805.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (10479).

2⁶⁴⁸⁰⁵ is an apocalyptic number.

64805 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64805 is a deficient number, since it is larger than the sum of its proper divisors (19027).

64805 is a wasteful number, since it uses less digits than its factorization.

64805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 64805 is about 254.5682619652. The cubic root of 64805 is about 40.1670100539.

It can be divided in two parts, 6480 and 5, that multiplied together give a square (32400 = 180²).

The spelling of 64805 in words is "sixty-four thousand, eight hundred five".