405705 has 32 divisors (see below), whose sum is σ = 722304. Its totient is φ = 193536.

The previous prime is 405703. The next prime is 405709. The reversal of 405705 is 507504.

405705 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 405705 - 2¹ = 405703 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (405701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9414 + ... + 9456.

It is an arithmetic number, because the mean of its divisors is an integer number (22572).

2⁴⁰⁵⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

405705 is a deficient number, since it is larger than the sum of its proper divisors (316599).

405705 is a wasteful number, since it uses less digits than its factorization.

405705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 405705 is about 636.9497625402. The cubic root of 405705 is about 74.0292677021.

The spelling of 405705 in words is "four hundred five thousand, seven hundred five".