42705 has 24 divisors (see below), whose sum is σ = 80808. Its totient is φ = 20736.

The previous prime is 42703. The next prime is 42709. The reversal of 42705 is 50724.

42705 = 26² + 27² + ... + 52².

It is a happy number.

42705 is nontrivially palindromic in base 8.

42705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1089 + 41616 = 33^2 + 204^2 .

It is not a de Polignac number, because 42705 - 2¹ = 42703 is a prime.

It is a Curzon number.

42705 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42705.

It is not an unprimeable number, because it can be changed into a prime (42701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (3367).

2⁴²⁷⁰⁵ is an apocalyptic number.

42705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42705 is a deficient number, since it is larger than the sum of its proper divisors (38103).

42705 is a wasteful number, since it uses less digits than its factorization.

42705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 42705 is about 206.6518811915. The cubic root of 42705 is about 34.9536802230.

It can be divided in two parts, 42 and 705, that added together give a palindrome (747).

The spelling of 42705 in words is "forty-two thousand, seven hundred five".