406705 has 8 divisors (see below), whose sum is σ = 525672. Its totient is φ = 300288.

The previous prime is 406699. The next prime is 406717. The reversal of 406705 is 507604.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 323761 = 288^2 + 569^2 .

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 406705 - 2³ = 406697 is a prime.

It is a Duffinian number.

It is a congruent number.

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, 3064 + ... + 3193.

It is an arithmetic number, because the mean of its divisors is an integer number (65709).

2⁴⁰⁶⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

406705 is a deficient number, since it is larger than the sum of its proper divisors (118967).

406705 is a wasteful number, since it uses less digits than its factorization.

406705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 406705 is about 637.7342706802. The cubic root of 406705 is about 74.0900413573.

It can be divided in two parts, 406 and 705, that added together give a palindrome (1111).

The spelling of 406705 in words is "four hundred six thousand, seven hundred five".