413705 has 8 divisors (see below), whose sum is σ = 502152. Its totient is φ = 327168.

The previous prime is 413689. The next prime is 413711. The reversal of 413705 is 507314.

413705 = 11² + 12² + ... + 107².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 413449 = 16^2 + 643^2 .

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 413705 - 2⁴ = 413689 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

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, 59 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (62769).

2⁴¹³⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

413705 is a deficient number, since it is larger than the sum of its proper divisors (88447).

413705 is an equidigital number, since it uses as much as digits as its factorization.

413705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 413705 is about 643.1990360689. The cubic root of 413705 is about 74.5126924608.

The spelling of 413705 in words is "four hundred thirteen thousand, seven hundred five".