159705 has 48 divisors (see below), whose sum is σ = 351360. Its totient is φ = 67392.

The previous prime is 159701. The next prime is 159707. The reversal of 159705 is 507951.

159705 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 159705 - 2² = 159701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (159701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12279 + ... + 12291.

It is an arithmetic number, because the mean of its divisors is an integer number (7320).

2¹⁵⁹⁷⁰⁵ is an apocalyptic number.

159705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

159705 is an abundant number, since it is smaller than the sum of its proper divisors (191655).

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

159705 is a wasteful number, since it uses less digits than its factorization.

159705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 159705 is about 399.6310798724. The cubic root of 159705 is about 54.2549670889.

The spelling of 159705 in words is "one hundred fifty-nine thousand, seven hundred five".