163705 has 8 divisors (see below), whose sum is σ = 203400. Its totient is φ = 126336.

The previous prime is 163697. The next prime is 163729. The reversal of 163705 is 507361.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 162409 = 36^2 + 403^2 .

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 163705 - 2³ = 163697 is a prime.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420 + ... + 709.

It is an arithmetic number, because the mean of its divisors is an integer number (25425).

2¹⁶³⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

163705 is a deficient number, since it is larger than the sum of its proper divisors (39695).

163705 is a wasteful number, since it uses less digits than its factorization.

163705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 163705 is about 404.6047453998. The cubic root of 163705 is about 54.7041970784.

It can be divided in two parts, 163 and 705, that added together give a palindrome (868).

The spelling of 163705 in words is "one hundred sixty-three thousand, seven hundred five".