473705 has 8 divisors (see below), whose sum is σ = 601992. Its totient is φ = 356608.

The previous prime is 473659. The next prime is 473719. The reversal of 473705 is 507374.

473705 = T₁₁₀ + T₁₁₁ + ... + T₁₆₀.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 458329 = 124^2 + 677^2 .

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 473705 - 2¹⁶ = 408169 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2702 + ... + 2871.

It is an arithmetic number, because the mean of its divisors is an integer number (75249).

2⁴⁷³⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

473705 is a deficient number, since it is larger than the sum of its proper divisors (128287).

473705 is a wasteful number, since it uses less digits than its factorization.

473705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595.

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 473705 is about 688.2623046485. The cubic root of 473705 is about 77.9535664902.

The spelling of 473705 in words is "four hundred seventy-three thousand, seven hundred five".